# Quiz-1

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Question 1

Time: 00:00:00
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is

2 km/hr

2 km/hr

3 km/hr

3 km/hr

4 km/hr

4 km/hr

5 km/hr

5 km/hr

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Solution

Let, Speed of stream = x km/hour. When going downstream, effective speed = (15+x) km/hour When going upstream, effective speed = (15-x) km/hour Distance covered in going downstream = 30km Distance covered in going upstream = 30km Total time of going downstream and upstream = 4.5 hour So ---- [30/(15+x)]+[30/(15-x)] = 4.5 Solving this, we get x = 5 km/hour

Let, Speed of stream = x km/hour. When going downstream, effective speed = (15+x) km/hour When going upstream, effective speed = (15-x) km/hour Distance covered in going downstream = 30km Distance covered in going upstream = 30km Total time of going downstream and upstream = 4.5 hour So ---- [30/(15+x)]+[30/(15-x)] = 4.5 Solving this, we get x = 5 km/hour

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Question 2

Time: 00:00:00
If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the stream is

5 km/hr

5 km/hr

4 km/hr

4 km/hr

2 km/hr

2 km/hr

1 km/hr

1 km/hr

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Question 3

Time: 00:00:00
A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing speed in still water is

4 kmph

4 kmph

5 kmph

5 kmph

6 kmph

6 kmph

7 kmph

7 kmph

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Rate upstream = (750/675) = 10/9 m/sec Rate downstream (750/450) m/sec = 5/3 m/sec Rate in still water = (1/2)*[(10/9) + (5/3)] m/sec. = 25/18 m/sec = (25/18)*(18/5) kmph = 5 kmph

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Question 4

Time: 00:00:00
A boat can travel with a speed of 16 km/hr in still water. If the rate of the stream is 5 km/hr, then find the time taken by the boat to cover the distance of 84 km downstream.

4 hours

4 hours

5 hours

5 hours

6 hours

6 hours

7 hours

7 hours

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Question 5

Time: 00:00:00
One gear pulley rotates at a speed of 3 rev/sec another gear roates at 5 rev/sec. if both start together after how many seconds will they be together again?

3 sec

3 sec

20 sec

20 sec

15 sec

15 sec

5 sec

5 sec

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Question 6

Time: 00:00:00
A train leaves Meerut at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10.30 a.m. At what time do the two trains travel in order to cross each other ?

08:30

08:30

07:25

07:25

07:56

07:56

none

none

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Question 7

Time: 00:00:00
An express A starts at 2.30 pm from nampali station and travels towards vizag station at speed of 80 kmph. Another expressstarts at 4.30 pmfrom nampali station to vizag station at speed of 100 kmph. How far awayfrom station Nampali will the two trains meet?

A.600 km

A.600 km

B.700 km

B.700 km

C.750 km

C.750 km

D. 800 km

D. 800 km

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Question 8

Time: 00:00:00
A journey of 600 km, Due to some problem in Vehicle speed was reduced to 200 kmph and it takes 30min extra, Find the Actual time taken for Journey?

1 hour

1 hour

1 hour 10 mins

1 hour 10 mins

2 hour 40 mins

2 hour 40 mins

45 mins

45 mins

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Question 9

Time: 00:00:00
Two men start from opposite banks of a river . They meet 340 meters away from one of the banks on forward journey. After that they meet at 170 meters from the other bank of the river on their backward journey. What will be the width of the river (in meters)?

1.3kms

1.3kms

400 m

400 m

1 km

1 km

850 m

850 m

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Question 10

Time: 00:00:00
When a train travels at a speed of 60kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph, it reaches its destination 15min late.what is the length of journey?

75km

75km

50km

50km

60km

60km

85km

85km

Once you attempt the question then PrepInsta explanation will be displayed.

let time t1 be x, so when train is 15 mintutes late new time t2=x+15/60 as distance is same, 60*x=50*(x+15/60) x=2.5hr distance=60*2.5=150km

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Question 11

Time: 00:00:00
A girl goes to her office for work which is 50 miles. She goes to her office few distance by bicycle and remaining by train. The speed of bicycle is 15 mph and that of train is twice of the bicycle. If she spend 20 min. more on bicycle, then total time tak

1 hr 30 min

1 hr 30 min

2 hr 20 min

2 hr 20 min

2 hr 30 min

2 hr 30 min

2 hr 50 min

2 hr 50 min

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