## Speed, Time and Distance

#### Speed, Time and Distance

1. 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 ?
1. 30 metre
2.  31 1 metre 4
3.  31 3 metre 4
4. 32 metre

1. 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

##### Correct 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

1. 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
1. 30 metres
2. 25 metres
3. 29 metres
4. 27 metres

1. 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

##### Correct 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

1. 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
1. 11.9 metre
2. 1.19 metre
3. 12.7 metre
4. 1.27 metre

1. 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.

1. 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
1. 95 m
2. 50 m
3. 45 m
4. 60 m

1. 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

##### Correct 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

1. In a 100m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Kmph, then the speed of Bimal is
1. 15.4 kmph
2. 14.5 kmph
3. 14.4 kmph
4. 14 kmph

1. 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