## Speed, Time and Distance

#### Speed, Time and Distance

1. Rahim covers a certain distance in 14 hrs 40 min. He covers one half of the distance by train at 60 km/hr. and rest half by road at 50 km/hr. The distance travelled by him is ?
1. 960 km.
2. 720 km.
3. 1000 km.
4. 800 km.

1. Let the total distance be y km.
Then, (y/2) x (1/60) + (y/2) x (1/50) = 44/3

##### Correct Option: D

Let the total distance be y km.
Then, (y/2) x (1/60) + (y/2) x (1/50) = 44/3
⇒ y/120 + y/100 = 44/3
⇒ 5y + 6y = 8800
⇒ y = 800
∴ Required distance = 800km.

1. A man perform 2/15 of the total journey by rail, 9/20 by tonga and the remaining 10 km on foot. This total journey is ?
1. 15.6 km.
2. 12.8 km.
3. 16.4 km.
4. 24 km.

1. Let the total journey be x km. then,
2x/15 + 9x/20 + 10 = x

##### Correct Option: D

Let the total journey be x km. then,
2x/15 + 9x/20 + 10 = x
⇒ 8x + 27x + 600 = 60x
⇒ x = 24
∴ Total journey = 24 km.

1. Shard cover two-third of a certain distance at 4 km/hr and the remaining at 5 km/hr. If he takes 42 minutes in all, the distance is ?
1. 2.5 km.
2. 4.6 km.
3. 4 km.
4. 3 km.

1. Let total distance be y km.
Then , (2y / 3) / 4 + ( y / 3) / 5 = 42/60

##### Correct Option: D

Let total distance be y km.
Then , (2y / 3) / 4 + ( y / 3) / 5 = 42/60
⇒ y/6 + y/ 15 = 7/10
⇒ 5y + 2y = 21
∴ y = 3
∴ Required distance = 3 km.

1. A boy goes to school with a speed of 3 km/hr. and return to the village with a speed of 2 km/hr. If he takes 5 hours in all, then distance between the village and the school is ?
1. 6 km.
2. 7 km.
3. 8 km.
4. 9 km.

1. Let The required distance be y km.
Then, y/3 + y/2 = 5

##### Correct Option: A

Let The required distance be y km.
Then, y/3 + y/2 = 5
⇒ 2y + 3y = 30
⇒ y = 6 km

1. A distance is covered in 2 hours 45 min at 4 km/hr How much time will be taken to cover it at 16.5 km/hr ?
1. 40 min.
2. 41 min. 15 sec.
3. 45 min.
4. 90 min.

1. Distance = (4 x 11/4 )km.
= 11 km.
∴ Req. Time = 11km / (33/2) km/hr

##### Correct Option: A

Distance = (4 x 11/4 )km.
= 11 km.
∴ Req. Time = 11km / (33/2) km/hr
= 2 x (11 / 33) hr.
=(2 / 3) x 60 minutes
= 40 minutes