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36.
In a 100 metres race. A runs at a speed of 2 metres per seconds. If A gives B a start of 4 metres and still beats him by 10 seconds, find the speed of B -
- A.1.6 m/sec.
- C.1 m/sec.
- B.4 m/sec.
- D.2.6 m/sec.
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
| Here A is the winner and B is the loser. | |||||||||||||
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| Hence, the speed of B is 1.6 metres/sec. | |||||||||||||
37.
P runs 1 km in 4 minutes and Q in 4 minutes 10 secs. How many metres start can P give Q in 1 kilometre race, so that the race may end in a dead heat?
- A.40 m
- C.30 m
- B.50 m
- D.None of these
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
| P runs 1 kilometre in 4 minutes (= 240 seconds) | |||||||||||||
| Q runs a kilometre in 4 minutes 10 sec. (= 250 seconds) | |||||||||||||
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| But if P gives Q a start of 10 seconds or x metres so that the race may end in a dead heat, i.e., beat time = 0 and beat distance = 0 |
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| Hence if P gives Q a start of 40 metres in a race of one kilomere the race will end in a dead heat. | |||||||||||||
38.
In a race of 300 m A beats B by 15 m or 5 sec. A’s time over the course is
- A.100 sec
- C.105 sec
- B.95 sec
- D.90 sec
- Answer & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| 15 m is covered by B in 5 sec | ||||||||
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39.
In a game of 90 points A can give B 15 points and C 30 points. How many points can B give C in a game of 100 points?
- A.140
- C.50
- B.20
- D.30
- Answer & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| A : B : C = 90 : 75 : 60 | |||||||||||||||||||||||
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| Hence, in a game of 100 points, B can give C(100 – 80) = 20 points. | |||||||||||||||||||||||
40.
A, B and C are the three constant in one km race. If A can give B a start of 40 metres and A can give C a start of 64 metres. How many metres start can B give C?
- A.20 m
- C.35 m
- B.25 m
- D.None of these
- Answer & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| While A covers 1000 metres, B covers (1000 – 40) or 960 metres and C covers (1000 – 64) or 936 metres. | ||||||||
| Now, when B covers 960 metres, C covers 936 metres. | ||||||||
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| So, B can give C a start of (1000 – 975) m = 25 metres. | ||||||||
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