Speed, Time and Distance
 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 :

 4 : 3
 3 : 2
 3 : 4
 2 : 3

View Hint View Answer Discuss in Forum
Distance covered on the first day = 4 × 70 = 56 km 5
∴ Required ratio = 42 : 56 = 3 : 4Correct Option: C
Distance covered on the first day = 4 × 70 = 56 km 5
∴ Required ratio = 42 : 56 = 3 : 4
 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
 2
 3
 5

View Hint View Answer Discuss in Forum
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.
 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

 3 : 9 : 1
 1 : 3 : 9
 1 : 2 : 4
 4 : 3 : 2

View Hint View Answer Discuss in Forum
Required ratio = 1 : 2 : 3 3 2 1 = 1 : 1 : 3 3 1 × 3 : 1 × 3 : 3 × 3 3 ∴ Speed = Distance Time
= 1 : 3 : 9Correct 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
 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

 60 km/hr
 72 km/hr
 78 km/hr
 84 km/hr

View Hint View Answer Discuss in Forum
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
 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

 2 : 1
 3 : 2
 4 : 3
 5 : 4

View Hint View Answer Discuss in Forum
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