## Speed, Time and Distance

#### Speed, Time and Distance

1. A cyclist, after cycling a distance of 70 km on the second day, finds that the ratio of distance covered by him on the first two days is 4 : 5. If he travels a distance of 42 km. on the third day, then the ratio of distance travelled on the third day and the first day is :
1. 4 : 3
2. 3 : 2
3. 3 : 4
4. 2 : 3

1.  Distance covered on the first day = 4 × 70 = 56 km 5

∴  Required ratio = 42 : 56 = 3 : 4

##### Correct Option: C

 Distance covered on the first day = 4 × 70 = 56 km 5

∴  Required ratio = 42 : 56 = 3 : 4

1. A and B run a 5 km race on a round course of 400 m. If their speed are in the ratio 5 : 4, the
number of times, the winner passes the other, is
1. 1
2. 2
3. 3
4. 5

1. The winner will pass the other, one time in covering 1600m.
Hence, the winner will pass the other 3 times in completing 5km race.

##### Correct Option: C

The winner will pass the other, one time in covering 1600m.
Hence, the winner will pass the other 3 times in completing 5km race.

1. Three cars travelled distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1,
then the ratio of their speed is
1. 3 : 9 : 1
2. 1 : 3 : 9
3. 1 : 2 : 4
4. 4 : 3 : 2

1.  Required ratio = 1 : 2 : 3 3 2 1

 = 1 : 1 : 3 3

 1 × 3 : 1 × 3 : 3 × 3 3 ∴  Speed = Distance Time

= 1 : 3 : 9

##### Correct Option: B

 Required ratio = 1 : 2 : 3 3 2 1

 = 1 : 1 : 3 3

 1 × 3 : 1 × 3 : 3 × 3 3 ∴  Speed = Distance Time

= 1 : 3 : 9

1. The speed of two trains are in the ratio 6 : 7. If the second train runs 364 km in 4 hours, then
the speed of first train is
1. 60 km/hr
2. 72 km/hr
3. 78 km/hr
4. 84 km/hr

1.  Speed of second train = 364 = 91 kmph 4

∴  7x ≡ 91
 ⇒ 6x ≡ 91 × 6x ≡ 78 kmph 7x

##### Correct Option: C

 Speed of second train = 364 = 91 kmph 4

∴  7x ≡ 91
 ⇒ 6x ≡ 91 × 6x ≡ 78 kmph 7x

1. Two trains started at the same time, one from A to B and the other from B to A. If they arrived at B and A respectively 4 hours and 9 hours after they passed each other, the ratio of the speed of the two trains was
1. 2 : 1
2. 3 : 2
3. 4 : 3
4. 5 : 4

1.  Required ratio of the speed of two trains = √9 √4

 = 3 or 3 : 2 2

##### Correct Option: B

 Required ratio of the speed of two trains = √9 √4

 = 3 or 3 : 2 2