1.
A can give B a start of 20 metres and C a start of 39 metres in a walking race of 400 metres. How much can B give C a start?
• A.
20 m
• C.
18 m
• B.
15 m
• D.
25 m
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Explanation :

(L - x12)x23 = L(x13 - x12)

(400 - 20)x23 = 400(39 - 20)

x23 = 20 metres

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2.
In a 300 metres race A beats B by 15 metres or 5 seconds. A�s time over the course is -
• A.
100 seconds
• C.
105 seconds
• B.
95 seconds
• D.
90 seconds
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Explanation :

15 metres are covered by B in 5 seconds

300 metres are covered by B in
 5 15
x 300    = 100 seconds

Time taken by A = (100 � 5) = 95 seconds

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3.
Rashid can run 880 metres race in 2 minutes 24 seconds and Hamid in 2 minutes 40 seconds. How many metres start can Rashid give Hamid in a 880 metres race to make a dead heat?
• A.
88 ms
• C.
80 ms
• B.
77 ms
• D.
98 ms
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Explanation :

We have the distance by which Rashid can beat Hamid = 880   1 -
 144 160
= 88 m

Rashid can give Hamid 88 metres start in the race to make a dead heat.

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4.
At a game of billiards A can give B 6 points in 50 and he can give C 13 in 65. In a game of 55, number of points B can give C is
• A.
3
• C.
5
• B.
4
• D.
8
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Explanation :

In a game of 50

While A scores 50, B scores 50 � 6 = 44 and in a game of 65,

While A scores 65, C scores 65 - 13 = 52.

While A scores 50, C scores

 52 65
x 50 = 40

While B scores 44, C's score = 40

While B scores 55, C�s score =
 40 44
x 55 = 50

In a game of 55, B can give C 55 - 50 = 5 Points.

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5.
A and B take part in a 100 m race. A runs at 5 km per hr. A gives B a start of 8 m and still beat him by 8 sec. Speed of B is
• A.
5.15 km/hr
• C.
4.25 km/hr
• B.
4.14 km/hr
• D.
4.4 km/hr
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Explanation :

A's speed =   5 x
 5 18
m/sec =
 25 18
m/sec.

Time taken by A to cover 100 m =   100 x
 18 25
sec = 72 sec.

B covers 92 m in 72 + 8 = 80 sec.

B's speed =
 92 80
x
 18 5
km/hr = 4.14 km/hr

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