Speed, Time and Distance
 A can give 40 metres start to B and 70 metres to C in a race of one kilometre How many metres start can B give to C in a race of one kilometre ?

 30 metre

31 1 metre 4 
31 3 metre 4  32 metre

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According to the question,
When A covers 1000m, B covers = 1000 – 40 = 960 m
and C covers =1000 – 70 = 930 m
When B covers 960m, C covers 930 m.
∴ When B covers 1000m, C covers= 930 × 1000 = 968.75 metre 960
Hence, B gives C a start of
= 1000 – 968.75 = 31.25 metreCorrect Option: B
According to the question,
When A covers 1000m, B covers = 1000 – 40 = 960 m
and C covers =1000 – 70 = 930 m
When B covers 960m, C covers 930 m.
∴ When B covers 1000m, C covers= 930 × 1000 = 968.75 metre 960
Hence, B gives C a start of
= 1000 – 968.75 = 31.25 metre
 In a race of 200 metres, B can give a start of 10 metres to A, and C can give a start of 20 metres to B. The start that C can give to A, in the same race, is

 30 metres
 25 metres
 29 metres
 27 metres

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According to the question,
∵ When B runs 200 m metres, A runs 190 metres
∴ When B runs 180 metres, A runs= 190 × 180 = 171 metres 200
When C runs 200m, B runs 180 metres.
Hence, C will give a start to A by
= 200 – 171 = 29 metresCorrect Option: C
According to the question,
∵ When B runs 200 m metres, A runs 190 metres
∴ When B runs 180 metres, A runs= 190 × 180 = 171 metres 200
When C runs 200m, B runs 180 metres.
Hence, C will give a start to A by
= 200 – 171 = 29 metres
 In a race of 800 metres, A can beat B by 40 metres. In a race of 500 metres, B can beat C by 5 metres. In a race of 200 metres, A will beat C by

 11.9 metre
 1.19 metre
 12.7 metre
 1.27 metre

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According to the question,
∴ When A runs 800 metres, B runs 760 metres
∴ When A runs 200 metres, B runs= 760 × 200 = 190 metres 800
Again, when B runs 500 metres, C runs 495 metres.
∴ When B runs 190 metres, C runs= 495 × 190 = 188.1 metres 500
∴ Hence, A will beat C by
200 – 188.1 = 11.9 metres in a race of 200 metres.Correct Option: A
According to the question,
∴ When A runs 800 metres, B runs 760 metres
∴ When A runs 200 metres, B runs= 760 × 200 = 190 metres 800
Again, when B runs 500 metres, C runs 495 metres.
∴ When B runs 190 metres, C runs= 495 × 190 = 188.1 metres 500
∴ Hence, A will beat C by
200 – 188.1 = 11.9 metres in a race of 200 metres.
 In a race of 1000 m, A can beat B by 100m. In a race of 400 m, B beats C by 40m. In a race of 500m. A will beat C by

 95 m
 50 m
 45 m
 60 m

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When A runs 1000m, B runs 900m.
∴ When A runs 500m, B runs 450 m.
Again, when B runs 400m, C runs 360 m.
∴ When B runs 450m, C runs= 360 × 450 = 405 metres 400
Required distance = 500 – 405
= 95 metresCorrect Option: A
When A runs 1000m, B runs 900m.
∴ When A runs 500m, B runs 450 m.
Again, when B runs 400m, C runs 360 m.
∴ When B runs 450m, C runs= 360 × 450 = 405 metres 400
Required distance = 500 – 405
= 95 metres
 In a 100m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Kmph, then the speed of Bimal is

 15.4 kmph
 14.5 kmph
 14.4 kmph
 14 kmph

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Time taken by Kamal
= 100 = 20 seconds 18 × 5 18
∴ Time taken by Bimal
= 20 + 5 = 25 seconds∴ Bimal’s speed = 100 = 4 m/sec 25 = 4 × 18 kmph = 14.4 kmph. 5 Correct Option: C
Time taken by Kamal
= 100 = 20 seconds 18 × 5 18
∴ Time taken by Bimal
= 20 + 5 = 25 seconds∴ Bimal’s speed = 100 = 4 m/sec 25 = 4 × 18 kmph = 14.4 kmph. 5