Swatantrata Express and Samvidhaan express were running on parallel tracks in opposite direction. They cross each other in 60 seconds. However moving ahead, they cross stationary poles in 70 sec and 55 sec. respectively. What is the respective ratio of their speed?
1). 2 ∶ 1
2). 1 ∶ 2
3). 55 ∶ 70
4). 14 ∶ 11
Let the speeds of the Swatantrata & Samvidhaan express be x m/s and y m/s respectively.
∴ Length of the first train = Distance covered in crossing stationary pole = 70x m
& Length of the second train = Distance covered in crossing pole = 55y m.
Relative speed = (x + y) m/s
While crossing each other distance covered = 60(x +y) m
Also, the distance covered while crossing each other is the sum of the lengths of the two trains.
∴ 60 (x + y) = 70x + 55y
⇒ 5y = 10x
∴y = 2x
∴ The respective ratio of their speeds = 1 ? 2
3. What should come in the place of question mark (?) in this question? (243)0.15 × (243)0.05 = ?
8. What will come in place of question mark (?) in the following number series? 7 11 27 63 ?
9. What should come in place of ‘?’ in the following number series? 15, 16, 12, 39, 23, ?
10. Which of the following number should be added to 28614 so that 89 divides the result exactly?