ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

If the relative speeds of bike 1 and 2 is 35 km/hr, that of 2 and 3 is 75 km/hr and that of 1 and 3 is 40 km/hr, then which of the following bikes are moving in the same direction?

Asked on by | Votes 0 | Views: 22 | Tags: speed time and distance     | quantitative aptitude     | Add Bounty

If the relative speeds of bike 1 and 2 is 35 km/hr, that of 2 and 3 is 75 km/hr and that of 1 and 3 is 40 km/hr, then which of the following bikes are moving in the same direction?
1). 1 and 2
2). 2 and 3
3). 1 and 3
4). 1, 2 and 3


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

3 vote
Answered by on | Votes 3 |

Let the individual speeds of bike 1, 2 and 3 be ‘x1’, ‘x2’ and ‘x3’ km/hr respectively

When two bodies are moving towards each other, i.e. moving in opposite direction, their relative speed is the sum of their individual speeds

While, when two bodies are moving in the same direction, their relative speed is the difference of their individual speeds

Now, let,

Relative speed of bike 1 and 2 = ± x1 ± x2 = 35      ----(1)

Relative speed of bike 2 and 3 = ± x2 ± x3 = 75      ----(2)

Subtracting (1) from (2), we get,

⇒ (± x2 ± x3) - (± x1 ± x2) = 75 - 35

⇒ ± x2 ± x3 ? x1 ? x2 = 40

⇒ ± x3 ? x1 = 40

⇒ ± (x3 - x1) = 40 = Relative speed of bike 1 and 3

? Relative speed of bike 1 and 3 is equal to the difference of their individual speeds

∴ Bike 1 and 3 are moving in the same direction

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (3+4)
Submit:

Other Questions

1. Stations A and B are 60 km apart on a highway. One truck starts from A and another one from B at the same time. If they travel in the same direction, they meet in 6 hours. But if they travel towards each other, they meet in one hour. The speeds of the two trucks respectively are:

2. Amit goes to his office by car at the speed of 80 km/hr and reaches 15 minutes earlier. If he goes at the speed 60 km/hr, he reaches 15 minutes late. What will be the speed (in km/hr) of the car to reach on time?

3. A 120m long train takes t seconds to pass a pole. The same train takes three more seconds to pass another 56m train going in opposite direction at a speed of 3.6km/hr. Find the speed of the train?

4. A man is late by 40 minutes to reach his office from his house when he moves with a speed of 10 km/hour. If he moves with a speed of 20 km/hour then he reaches his office 20 minutes earlier. Distance of his house from office is –

5. A train passes a 90 m long platform in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is:

6. A boat covers 9 km upstream and 38 km downstream in 3 hrs, while it covers 45 km upstream and 57 km downstream in 8 hrs. What is the speed of the current?

7. A man during a bike ride covers 30 mins at speed of 40 kmph, another 45 mins at 60 kmph and next 45 mins at 100 kmph speed. Find the average speed of man during the entire journey.

8. The speed of the boat in still water is 18 km/hr and the speed of the current is 2 km/hr. If A man rows his boat upstream for 3 hours and downstream for 2 hours. Find the total distance travelled by him?

9. A car moving at a speed of 45 km/hr overtakes a bus 150 meters ahead going in the same direction in 30 seconds. The speed of the bus is

10. In a stream running at 2 km/hr, a motor boat goes 10 km upstream and back again to the starting point in 55 minutes. Find the speed of the motor boat in still water.