# Time and Distance Questions and Answers updated daily – Aptitude

Time and Distance Questions: Solved 288 Time and Distance Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Time and Distance Questions

281. A man performs 1/4 of the total journey by car, 2/3 by bus and the remaining 37 km by train. His total journey is ?

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Correct Ans:444

Explanation:

Let the total journey be x Kms.
Journey covered by car = x/4
Journey covered by bus = 2x/3
Journey covered by train = 37 km
x/4 + 2x/3 + 37=x
x-x/4-2x/3 =37
(12x-3x-8x)/12 = 37
x/12 = 37 => x = 12 x 37=444 x = 444 kms

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282. A train 135 m long is running with a speed of 48 kmph. In what time will it pass a man who is walking at 6 kmph in the direction apposite to that of the train (in sec) ?

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Correct Ans:9

Explanation:

Length of the train = 135m Length of the man = 0 , u = 48 kmph , v = 6 kmph
Relative speed = u + v (opp. direction) = 54 kmph = 54 x 5/18 m/sec = 15 m/sec
Distance to be covered = 135 m, speed = 15 m /sec.
Time take = Distance/Speed = 135/15 = 9 sec

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283. A train 130 m long passes a bridge in 21 sec moving with a speed of the 90 km/hr. Find the length of the bridge

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Correct Ans:395

Explanation:

Speed of the train = (Train length + Bridge Length ) / time taken to cross the bridge
(5/18) x 90 = (130 + Bridge Length) / 21
Bridge Length + 130 = 21 x 25 = 525
Bridge Length = 525 ? 130 = 395 m

Workspace

284. A 600 m long train crosses a pole in 9 sec, What is the speed of the train Km/hr ?

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Correct Ans:240

Explanation:

Speed of the train = Length / Time taken
=600 / 9 m /sec = 200/3 m/sec
We need in kmph, Speed = (20/3) x (18/5) = 240 kmph

Workspace

285. Ajay drove at a speed of 45 kmph from home to resort. Returning, over the same route he got stuck in traffic and took an hour longer drive, also he could drive only at 40 kmph. How many kilometers did he drive each way ?

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Correct Ans:360

Explanation:

Distance be d,
Distance = Speed x Time
Distance = d, Speed = 45 the Time = d/45
Distance = d, speed = 40, then time = d/40
While coming back it took a hour longer => d/40 = d/45 + 1
d ( 1/40 ? 1/45 ) = 1 => d = (40 x 45) / 5 = 360

Workspace

286. A boat goes 14 km downstream in 56 minutes. The speed of stream is 2 km/hr. Find the speed of the boat in still water (in Km/hr).

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Correct Ans:13

Explanation:

Given boat covers 14 Km downstream in 56 minutes.
Downstream Speed = (60 x 14)/56 = 15 Km/hr
Speed of boat + 2 = 15 Km/hr => speed of boat = 13 Km/hr

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287. A train travels from City X to City Y at a speed of 27 kmph, while on its return journey the train was travelling at speed of 54 kmph. Find the average speed of the train

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Correct Ans:36

Explanation:

) Let x be the speed of the train while going from City X to Y.
Let y be the speed of the train while going from City Y to X. Average speed of the train is given by = 2xy/(x+y)
Average speed = (2 x 27 x 54) / (27 + 54 ) , => Average speed = 36

Workspace

288. A man performs 1/4 of the total journey by car, 2/3 by bus and the remaining 37 km by train. His total journey is ?

SHOW ANSWER

Correct Ans:444

Explanation:

Let the total journey be x Kms.

Journey covered by car = x/4

Journey covered by bus = 2x/3

Journey covered by train = 37 km

x/4 + 2x/3 + 37=x => x-x/4-2x/3 =37

=> (12x-3x-8x)/12 = 37

x/12 = 37 => x = 12 x 37 = 444 x = 444 kms

Journey covered by car = x/4

Journey covered by bus = 2x/3

Journey covered by train = 37 km

x/4 + 2x/3 + 37=x => x-x/4-2x/3 =37

=> (12x-3x-8x)/12 = 37

x/12 = 37 => x = 12 x 37 = 444 x = 444 kms

Workspace

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