## Speed, Time and Distance

#### Speed, Time and Distance

1.  A man travels 3 th of the distance 4

 of his journey by bus, 1 th by rickshaw 6
and 2 km on foot. The total distance travelled by the man is :
1. 12 km
2. 18 km
3. 20 km
4. 24 km

1. Part of journey covered by bus and rickshaw

 = 3 + 1 = 9 + 2 = 11 4 6 12 12

Distance covered on foot
 = 1 − 11 = 1 part 12 12

∴  Total journey
= 12 × 2 = 24 km.

##### Correct Option: D

Part of journey covered by bus and rickshaw

 = 3 + 1 = 9 + 2 = 11 4 6 12 12

Distance covered on foot
 = 1 − 11 = 1 part 12 12

∴  Total journey
= 12 × 2 = 24 km.

1. A train is running at a speed of 116 km/hr. The distance covered by the train in metres in 18 seconds is :
1. 900 metre
2. 1160 metre
3. 508 metre
4. 580 metre

1. Speed of train = 116 kmph

 = 116 × 5 m/sec. 18

 = 580 m./sec. 18

∴  Required distance
= Speed × Time
 = 580 × 18 metre 18

= 580 metre

##### Correct Option: D

Speed of train = 116 kmph

 = 116 × 5 m/sec. 18

 = 580 m./sec. 18

∴  Required distance
= Speed × Time
 = 580 × 18 metre 18

= 580 metre

1. Two buses travel to a place at 45 km./hr. and 60 km./hr. respectively.
 If the second bus takes 5 1 hours 2
less than the first for the journey, the length of the journey is :
1. 900 km.
2. 945 km.
3. 990 km.
4. 1350 km.

1. Time taken by bus moving at 60 kmph = t hours
Distance = Speed × Time

 ∴  60 × t = 45 × t + 11 2

 ⇒  60t – 45t = 45 × 11 2

 ⇒  15t = 45 × 11 2

 ⇒  t = 45 × 11 = 33 15 × 2 2

 = 60 × 33 = 990 km. 2

##### Correct Option: C

Time taken by bus moving at 60 kmph = t hours
Distance = Speed × Time

 ∴  60 × t = 45 × t + 11 2

 ⇒  60t – 45t = 45 × 11 2

 ⇒  15t = 45 × 11 2

 ⇒  t = 45 × 11 = 33 15 × 2 2

 = 60 × 33 = 990 km. 2

1. A bus travels at the speed of 36 km/hr, then the distance covered by it in one second is
1. 10 metre
2. 15 metre
3. 12.5 metre
4. 13.5 metre

1. Speed of bus = 36 kmph.

 = 36 × 5 m/sec. = 10 m/sec. 18

∴  Distance covered in 1 second = 10 metre

##### Correct Option: A

Speed of bus = 36 kmph.

 = 36 × 5 m/sec. = 10 m/sec. 18

∴  Distance covered in 1 second = 10 metre

1. A man cycles at the speed of 8 km/hr and reaches office at 11 am and when he cycles at the speed of 12 km/hr he reaches office at 9 am. At what speed should he cycle so that he reaches his office at 10 am?
1. 9.6 kmph.
2. 10 kmph.
3. 11.2 kmph.
4. Cannot be determined

1. Distance of the office = x km.
Difference of time = 2 hours

 ∴ x − x = 2 8 12

 ⇒ 3x − 2x = 2 24

 ⇒ x = 2 ⇒ x = 48 km. 24

∴  Time taken at the speed of 8 kmph
 = 48 = 6 hours 8

∴  Required time to reach the
office at 10 a.m. i.e., in 5 hours
 = 48 kmph 5

= 9.6 kmph

##### Correct Option: A

Distance of the office = x km.
Difference of time = 2 hours

 ∴ x − x = 2 8 12

 ⇒ 3x − 2x = 2 24

 ⇒ x = 2 ⇒ x = 48 km. 24

∴  Time taken at the speed of 8 kmph
 = 48 = 6 hours 8

∴  Required time to reach the
office at 10 a.m. i.e., in 5 hours
 = 48 kmph 5

= 9.6 kmph