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## Quant Quiz On Speed Time & Distance Day 20 Bag

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- A man in a train he can count 31 telephone posts in one minute. If they are known to be 45 m apart. Find the speed of the train.

A) 90 km/hr

B) 70 km/hr

C) 100 km/hr

D) 81 km/hr

E) 95 km/hr - If a man walks from his house to office at 6 km/hr , he is late by half an hour. However, if he walks at 8 km/hr , he is late by 10 minutes only. What is the distance of his office from his house.

A) 8 km

B) 12 km

C) 14 km

D) 18 km

E) 10 km - A candle of 8 cm long burns at the rate of 7 cm in 7 hour and another candle of 10cm long burns at the rate of 6 cm in 3 hour. What is the time required by each candle to remain of equal lengths after burning for some hours, when they start to burn simultaneously with uniform rate of burning?

A) 5 cm

B) 3 cm

C) 1 cm

D) 2 cm

E) 4 cm - Two trains, 190 m and 170 m long are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train.

A) 55 m/sec. and 42 m/sec.

B) 63 m/sec. and 57 m/sec.

C) 60 m/sec. and 55 m/sec.

D) 42 m/sec. and 40 m/sec.

E) 44 m/sec. and 40 m/sec. - A motorcyclist covered (2/3)rd of a total journey at his usual speed. He covered the remaining distance at (3/4)th of his usual speed. As a result, he arrived 30 minutes later than the time he would have taken at usual speed. If the total journey was 180 km. What was his usual speed?

A) 30 km/hr.

B) 20km/hr.

C) 50 km/hr.

D) 40 km/hr.

E) 60 km/hr. - A boat running at the speed of 30 km/hr downstream covers a distance of 5 km in 10 minutes . The same boat while running upstream at the same speed covers the same distance in 12 minutes . What is the speed of the current?

A) 2.5 km/hr

B) 4 km/hr

C) 3.2 km/hr

D) 1.5 km/hr

E) 2.5 km/hr - Two points P and Q are separated from a distance of 200 km. A car leaves from P to Q at the same time another car leaves from Q to P. The two car meet at the end of 8 hours. If the car travelling from P to Q travels 20km/hr. than the other. Find the speed of the faster car?

A) 15.25

B) 20.22

C) 22.5

D) 18.9

E) 21.5 - A person takes 10 hours in walking to a place and riding back. He would have taken 5 hours less by riding both ways.What would be the time he would take to walk both ways?

A) 5 hours

B) 15 hours

C) 12 hours

D) 10 hours

E) 8 hours - A man ride a bike at a speed of 6 km/hr from point X to point Y and came back from point Y to point X at the speed of 8 km/hr. What is the ratio between the time taken by man in riding from X to Y to point Y to X respectively?

A) 3 : 5

B) 4 : 3

C) 1 : 5

D) 2 : 3

E) 2 : 7 - Ritesh drive a car at the speed of 60 km/hr from resort A to resort B. Returning over the same route , he got stuck in traffic and took an hour longer, also he could drive only at the speed of 40 km/hr . How many kilometers did he drive each way?

A) 122 km

B) 100 km

C) 120km

D) 100 km

E) 110 km

- The speed of a boat in still water is 8kmph and the speed of current is 5kmph . The boat starts from point P and rows to point Q and comes back to point P. It takes 16 hours during this journey .Find the distance between the P and Q .

A) 42km

B) 28km

C) 31km

D) 39km

E) 47km - To reach from point A to point B at 4pm , Anuja will have to travel at an average speed of 18kmph . She will reach the point B at 3pm if she travels at an average speed of 24kmph . What will be the average speed of Anuja to reach point B at 2pm ?

A) 55kmph

B) 36kmph

C) 45kmph

D) 30kmph

E) 28kmph - Minal and Dhiraj begin together writing out a novel containing 8190 line. Minal starts with the first line , writing at the rate of 200lines per hour , and Dhiraj starts with the last line , then writes 8189
^{th}line and so on , proceeding backward at the rate of 150 lines per hour. At what line will they meet?

A) 5000

B) 4150

C) 4680

D) 5780

E) 5600 - A person starts by a car from Kollam to Trivandram and at the same time another person starts from Trivandram to Kollam by a car . After passing each other they complete their journey in 2 hours and (1/2)hour resp. At what rate does the second person drives the car if the first car runs at a speed of 40 kmph ?

A) 80kmph

B) 75kmph

C) 90kmph

D) 110kmph

E) 60kmph - Suppose the telegraph poles on a railway track are 30 m apart , how many poles will be passed by a train in 2 hours if the speed of the train is 90 km an hour ?

A) 7540

B) 8750

C) 6000

D) 5240

E) 6250 - The speeds of Vijaya and Keshav are 30kmph and 40kmph . Initially, Keshav is at a point A and Vijaya is at a place B . The distance between A and B is 650 km . Vijaya started her journey 3 hours earlier than Keshav to meet each other . If they meet each other at a place C somewhere in between A and B , then find the distance between C and B.

A) 450km

B) 785km

C) 527km

D) 470km

E) 330km - A small aeroplane can travel at 400kmph in still air . The wind is blowing at a constant speed of 40kmph . The total time for a journey against the wind is 120min. What will be the time in minutes for the return journey with the wind?

A) 98.18min.

B) 220min.

C) 114min.

D) 80min.

E) 194min. - There are 50 poles with a constant distance between each pole . A car takes 20 sec. to reach the 10
^{th}pole . How much more time will it take to reach the last pole ?

A) 120.11 sec.

B) 108.88 sec.

C) 88.8 sec.

D) 125.4 sec.

E) 157.17 sec. - A bike travels without stoppages at the rate of 60kmph and it travels with stoppages at the rate of 52kmph. How many minutes does the bike stop?

A) 11 mins.

B) 10 mins.

C) 5 mins.

D) 8 mins.

E) 15 mins. - A cat is 50 of its own leaps behind a rat. The cat takes 5 leaps per minute to the rat’s 4 leaps. If the cat and the rat cover 8m and 5m per leap resp., what distance will the cat have to run before it catches the rat?

A) 800m

B) 1100m

C) 900m

D) 600m

E) 500m

- Two trains are running with speed 40kmph and 60kmph in the same direction. A man in the slower train passes by the faster train in 36seconds. Find the length of faster train?

A) 100mtr

B) 150mtr

C) 200mtr

D) 250mtr

E) 300mtr - After travelling two hours a train met with an accident due to this it stops for an hour. After this the train moves at 66(2/3)% speed of its original speed and reaches to destination 3hour late. If the accident would occur at 200km ahead in the same line then the train reaches only 2.5hours late. Then find the distance of journey and the original speed of the train?

A) 2400km,600kmph

B) 1800km,300kmph

C) 2400km,400kmph

D) 1800km,200kmph

E) 2000km,100kmph - A man travels a distance in three equal parts. He covers first part at 20kmph,second part at 40kmph and third part at 120kmph. Find the distance if he covers total distance in 20hrs.

A) 1400km

B) 1200km

C) 1440km

D) 1600km

E) 1500km - A person who can walk down a hill at the rate of 6kmph and climb up the hill at rate of 4kmph. He ascends and comes down to his starting point in 5hrs. how far did he ascends ?

A) 12km

B) 14km

C) 20km

D) 24km

E) 16km - A student walks from his house at a speed of 2(1/2)km per hour and reaches his school 6minutes late. The next day he increases his speed by 1kmph and reaches 6minutes before school time. How far is the school from his home?

A) 5/4km

B) 9/4km

C) 7/4km

D) 11/4km

E) 10/4km - In covering a distance of 60km Abhi takes 2hrs more than Sam. If Abhi triples his speed then he would take 2hrs less than Sam. Abhi speed in kmph is ?

A) 10kmph

B) 12kmph

C) 15kmph

D) 20kmph

E) 14kmph - Two men start together to walk a certain distance, one at 5kmph and another at 4kmph. The former arrives an hour before the latter. Find the distance?

A) 10km

B) 15km

C) 20km

D) 25km

E) 30km - A man covers a distance in downstream at 18kmph. If the speed of stream is 2kmph then find his speed in upstream?

A) 12kmph

B) 14kmph

C) 16kmph

D) 18kmph

E) 20kmph - The distance between a thief and apolicemen is 300m. the speed of thief is 12m/s and the speed of police is 15m/s. find the distance covered by police to catch the thief?

A) 1000m

B) 1200m

C) 1500m

D) 2000m

E) 1300m - Two trains of same length passes each other in 36sec. if the speed of trains are 40kmph and 20kmph respectively, then find the length of train?

A) 200 m

B) 400 m

C) 600 m

D) 300 m

E) 500 m

- A man covers a distance in 10hrs and in three equal parts. The speed is 10kmph, 20kmph and 60kmph respectively. Find the distance?

A) 240km

B) 300km

C) 150km

D) 180km - Two persons covers same distance at 42kmph and 48kmph respectively. They find that the slower one takes 30minutes more to cover the distance. Find the distance cover by them?

A) 150km

B) 168km

C) 200km

D) 224km - Two persons goes from A to B at 12kmph and 8kmph. The faster one reach B first and come back. He meets slower one at a point R. find the distance between A & R if the distance between A to B is 20km?

A) 12km

B) 24km

C) 16km

D) 18km - Two trains are running on a parallel track in same direction. Train A comes from behind and overtake train B in 60seconds. One person in train A observes that he covers train B in 40seconds. If the speed of trains in the ratio of 3:1, then find the ratio of length of train A & B?

A) 1:3

B) 3:2

C) 2:3

D) 1:2 - If a person cover a distance in 5/7th of his normal speed, then he will reach his destination 20minutes late. Find the usual time taken by him on his normal speed?

A) 100min

B) 50min

C) 140min

D) 70min - A man cover a distance in t hrs, if he met with an accident after 20km and he then run at his 3/5th of his normal speed, so he reach his destination 40minutes late. If he met with an accident at 30km then he reach only 30min late. Find his original speed?

A) 60kmph

B) 50kmph

C) 40kmph

D) 24kmph - A thief steal a car at 1pm and run at a speed of 80kmph. The theft discovered at 2pm and police run behind him at a speed of 100kmph. Find at what time police will catch the theif?

A) 6pm

B) 7pm

C) 8pm

D) 5pm - A boat travels upstream from Q to P and downstream from P to Q in 3hrs. if the distance between P to Q is 4km and the speed of the stream is 1kmph, then what is the speed of the boat in still water?

A) 4.5kmph

B) 5.2kmph

C) 2.5kmph

D) 3kmph - A boat covers 12km upstream and 18km downstream in 3hrs. while it covers 36km up stream and 24km downstream in 6(1/2) hrs. find velocity of the stream?

A) 1.5kmph

B) 1kmph

C) 2kmph

D) 2.5kmph - Two person A & B with speed of 30kmph and 40kmph comes towards each other. When they meet it is find that faster one cover 30km more than slower one, find the distance cover by train?

A) 210km

B) 240km

C) 280km

D) 300km

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