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 Time and Distance Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  TIME  AND  DISTANCE

1.Speed = DistanceTime,  Time=DistanceSpeed, Distance= Speed×Time 

 

2. x km/hr = x×518 m/sec

 

3. x m/sec = x×185 km/hr

4. If the ratio of the speeds of A and B is a:b , then the ratio of the times taken by them to cover the same distance is or b : a

5. Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+ykm/hr.

Q:

A bike runs at the speed of 35 km/h when not serviced and runs at 55 km/h, when serviced. After servicing the bike covers a certain distance in 5 h. How much approximate time will the bike take to cover the same distance when not serviced?

A) 8 hrs B) 7.5 hrs
C) 7 hrs D) 6.5 hrs
 
Answer & Explanation Answer: A) 8 hrs

Explanation:

Given speed of the bike after servicing = 55 kmph

Time taken for travelling some distance at 55 kmph = 5 hrs

Then, 

Distance = Speed x Time = 55 x 5 = 275 kms.

Now, 

Speed of the bike before servicing = 35 kmph

Distance = 275 kms

Now, Time = Distance/Speed = 275/35 = 7.85 hrs =~ 8 hrs.

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Q:

Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha’s speed is 8 km/hr whereas Hema’s speed is 10 km/hr. Hema takes 9 minutes less than Radha to reach the school. How far is the school from the locality of Radha and Hema?

A) 5 km B)  5.5 km
C) 6 km D) 6.5 km
 
Answer & Explanation Answer: C) 6 km

Explanation:
Let the distance between be D km
Time taken by radha – Time taken by Hema = 9 mins
So D/8 – D/10 = 9/60 hrs
D = 6km
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Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

A) 20.57 B) 24
C) 28 D) 26.52
 
Answer & Explanation Answer: B) 24

Explanation:
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Q:

A car runs at the speed of 50 kms per hour when not serviced and runs at 60 km./hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced?

A) 8.2 hrs B) 6.5 hrs
C) 8 hrs D) 7.2 hrs
 
Answer & Explanation Answer: D) 7.2 hrs

Explanation:

After servicing, the distance covered by car in 6 hours = 60 * 6 = 360 km Without servicing, speed of car = 50 kmph => Required time = Distance/speed = 360/50 = 7.2 hrs.

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Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?

A) 25 m B) 21 m
C) 22 m D) 19 m
 
Answer & Explanation Answer: A) 25 m

Explanation:

A:B = 200 : 169
A:C = 200 : 182
 CB = CA×AB 

 

182200×200169

 

=> 182:169

 

When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers 169182×350
=> 325 m

 

 

 

So C beats B by (350 - 325) = 25 m.

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Q:

Three  cars A, B and C  started  from  a  point at 5  pm, 6  pm  and 7  pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?

A) 120 B) 110
C) 105 D) 100
 
Answer & Explanation Answer: A) 120

Explanation:

Distance covered by A till 6pm = 60 km

Distance covered by A till 7 pm = 120 km

Time taken by B to catch A = 60/(80-60 ) = 3 hrs

So A and B will meet at 6pm + 3 hrs = 9pm

Since we know that all three met at the same time

The time taken by C to cover 120 km

difference will be  = 9pm –7pm = 2hrs

Therefore,(x –60 )*2 = 120x = 120 km/hr

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Q:

A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?

A) 16 B) 30
C) 28.125 D) 27.5
 
Answer & Explanation Answer: A) 16

Explanation:
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Q:

An inspector is 228 meter behind the thief. The inspectorruns 42 meters and the thief runs 30 meters in a minute. Inwhat time will the inspector catch the thief?

A) 19 minutes B) 20 minutes
C) 18 minutes D) 21 minutes
 
Answer & Explanation Answer: A) 19 minutes

Explanation:

Inspector s 228 meter behind the thief and now aftersome x distance he will catch the thief. So
x/30 = 228+x/42 => x = 570 m
(228 + 570) / 42 = 19 min

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