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CLAT Exam  >  CLAT Tests  >  Quantitative Techniques for CLAT  >  Test: Time and Distance- 4 - CLAT MCQ

Test: Time and Distance- 4 - CLAT MCQ


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20 Questions MCQ Test Quantitative Techniques for CLAT - Test: Time and Distance- 4

Test: Time and Distance- 4 for CLAT 2024 is part of Quantitative Techniques for CLAT preparation. The Test: Time and Distance- 4 questions and answers have been prepared according to the CLAT exam syllabus.The Test: Time and Distance- 4 MCQs are made for CLAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Time and Distance- 4 below.
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Test: Time and Distance- 4 - Question 1
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Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time. What is their initial speed?

Detailed Solution for Test: Time and Distance- 4 - Question 1

Sum of their speeds = Distance/time = 576/12 = 48 kmph
Respective Speed of Sofi and Priya = (25 + 23) = 48 kmph

Test: Time and Distance- 4 - Question 2
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A and B set out at the same time to walk towards each other respectively from a place P and Q 144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?

Detailed Solution for Test: Time and Distance- 4 - Question 2

Distance travelled by them in first hour = 12 km
Distance travelled by them in second hour = 13 km and so on
In 9 hours both will cover exactly 144 km.
In 9 hours each will cover half the total distance.

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Test: Time and Distance- 4 - Question 3
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Two Vans start from a place with a speed of 50 kmph at an interval of 12 minutes. What is the speed of a car coming from the opposite direction towards the place if the car meets the vans at an interval of 10 minutes?

Detailed Solution for Test: Time and Distance- 4 - Question 3

50*12/60 = 10/60 * (50+x)
600 = 500 + 10x
x = 10 kmph

Test: Time and Distance- 4 - Question 4
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A car travels from a place A to B in 7 hour. It covers half the distance at 30 kmph and the remaining distance at 40 kmph, what is the total distance between A and B?
Detailed Solution for Test: Time and Distance- 4 - Question 4

Total Distance = x
(x/2*30) +(x/2*40) = 7
x = 240

Test: Time and Distance- 4 - Question 5
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Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of the first person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other? 
Detailed Solution for Test: Time and Distance- 4 - Question 5

First person speed = 25 m/s * 18/5 = 90 kmph
Second person speed = 35 m/s * 18/5 = 126 kmph
First person covers 90 * 10 = 900km
900/450 = 2

Test: Time and Distance- 4 - Question 6
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A truck travelled to a place Q from P, the first 50 km at 10 kmph faster than the usual speed, but it returned the same distance at 10 kmph slower than usual speed. If the total time taken by the truck is 12 hours, then how many hours will travel at the faster speed?
Detailed Solution for Test: Time and Distance- 4 - Question 6

Total time taken,
[50/(x-10)] + 50/(x +10)] = 12 hours.
By solving the equation, we get
x = 15
Time is taken by the truck at faster speed = 50/(15+10) = 2 hours.

Test: Time and Distance- 4 - Question 7
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Mr.Kavin walks at 4/5 of his normal speed and takes 60 minutes more than the usual time. What will be the new time taken by Mr. Kavin?
Detailed Solution for Test: Time and Distance- 4 - Question 7

4/5 of speed = 5/4 of original time
5/4 of original time = original time + 60 minutes;
1/4 of original time = 60 minutes;
Thus, original time = 60*4 = 240 minutes = 240 + 60 = 300 minutes

Test: Time and Distance- 4 - Question 8
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A travel bus normally reaches its destination at 60 kmph in 20 hours. Find the speed of that travel bus at which it travels to reduce the time by 5 hours?
Detailed Solution for Test: Time and Distance- 4 - Question 8

60 * 20 = x *15
x = 80 kmph

Test: Time and Distance- 4 - Question 9
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A Lion starts chasing a Giraffe. It takes 4 hours to catch the Giraffe. If the speed of the Lion is 40 km/h. What is the speed of Giraffe?
Detailed Solution for Test: Time and Distance- 4 - Question 9

Giraffe Speed = x Kmph
4 = 4*x/(40-x)
x = 20 km/h.

Test: Time and Distance- 4 - Question 10
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Anu and Purvi are running on a circular track of length 500m. The Speed of Anu is 40 m/s and that of Purvi is 30 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?  
Detailed Solution for Test: Time and Distance- 4 - Question 10

Time = Distance/Relative Speed = 500/10 = 50 s

Test: Time and Distance- 4 - Question 11
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A boat takes 28 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 6km/hr and the speed of the boat in still water is 9 km/hr, what is the distance between A and B?
Detailed Solution for Test: Time and Distance- 4 - Question 11

Downstream speed = 9+6 = 15
Upstream speed = 9-6 = 3
Now total time is 28 hours
If distance between A and B is d, then distance BC = d/2
Now distance/speed = time, so
d/15 + (d/2)/3 = 28
Solve, d = 120 km

Test: Time and Distance- 4 - Question 12
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Speed of a man in still water is 5 km/hr and the river is running at 3km/hr. The total time taken to go to a place and come back is 10 hours. What is the distance travelled?
Detailed Solution for Test: Time and Distance- 4 - Question 12

Down speed = 5+3 = 8
Up speed = 5-3 = 2
Let distance travelled = X
(X/8)+(X/2) = 10
X= 16 km
Total distance is 16+16 = 32

Test: Time and Distance- 4 - Question 13
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A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Detailed Solution for Test: Time and Distance- 4 - Question 13

Distance covered upstream in 9hrs 48 min = Distance covered downstream in 7hrs
(X-Y) 49/5 = (X+Y)7
X/y = 1/6

Test: Time and Distance- 4 - Question 14
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A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?
Detailed Solution for Test: Time and Distance- 4 - Question 14

Down speed = 20/24*60 = 50km/hr
4:1 = 4x:x
Downstream speed = 4x+x = 5x
Upstream speed = 4x-x = 3x
5x = 50; x = 10
so up speed 3*10 = 30
Time = 15/30*60 = 30min.

Test: Time and Distance- 4 - Question 15
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A boat whose speed in 20 km/hr in still water goes 40 km downstream and comes back in a total of 5 hours. The approx. speed of the stream (in km/hr) is:
Detailed Solution for Test: Time and Distance- 4 - Question 15

Let the speed of the stream be x km/hr. Then,
Speed downstream = (20 + x) km/hr,
Speed upstream = (20 – x) km/hr.
40/20+x + 40/20-x = 5
X = 9 approx

Test: Time and Distance- 4 - Question 16
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A boat covers a certain distance downstream in 2 hour, while it comes back in 2 1/2 hours. If the speed of the stream be 5 kmph, what is the speed of the boat in still water?
Detailed Solution for Test: Time and Distance- 4 - Question 16

Let the speed of the boat in still water be x kmph. Then,
Speed downstream = (x + 5) kmph,
Speed upstream = (x – 5) kmph.
(x + 5)*2 = (x – 5)*5/2
X = 45 kmph

Test: Time and Distance- 4 - Question 17
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A boat running downstream covers a distance of 40 km in 5 hrs and for covering the same distance upstream it takes 10 hrs. What is the speed of the stream? 
Detailed Solution for Test: Time and Distance- 4 - Question 17

Downstream speed = 40/5 = 8 km/hr
Upstream speed = 40/10 = 4 km/hr
So speed of stream = 1/2*(8-4)

Test: Time and Distance- 4 - Question 18
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A boat goes 4 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 15 km in stationary water?
Detailed Solution for Test: Time and Distance- 4 - Question 18

Rate downstream = 1/10 * 60 = 6kmph
Rate upstream = 4 km/hr.
Speed in still water = ½ * 10 = 5 kmph
Required time = 15/5 = 3 hr

Test: Time and Distance- 4 - Question 19
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A man rows to a place 40 km distant and come back in 9 hours. He finds that he can row 5 km with the stream in the same time as 4 km against the stream. The rate of the stream is:
Detailed Solution for Test: Time and Distance- 4 - Question 19

Speed downstream = 5/x
Speed upstream = 4/x
40/(5/x) + 40/(4/x) = 9
X = ½
So, Speed downstream = 10 km/hr, Speed upstream = 8 km/hr.
Rate of the stream = 1/2 * 2 = 1 kmph

Test: Time and Distance- 4 - Question 20
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A man can row 8 km/hr in still water. When the river is running at 4 km/hr, it takes him 2 1/3hr to row to a place and come back. How far is the place?
Detailed Solution for Test: Time and Distance- 4 - Question 20

Downstream speed = 8+4 = 12 ⇒ a
Upstream speed = 8-4 = 4 ⇒ b
Distance = a*b/(a+b) * total time (t)
= 12*4/16 * 7/3
= 7kms

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