Knowee
Questions
Features
Study Tools

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:60 m40 m20 m10 mNone

Question

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:60 m40 m20 m10 mNone

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we first need to understand that the ratio of speeds between A and B is 3:4. This means that for every 3 meters that A runs, B runs 4 meters.

Since A has a start of 140 meters, by the time B starts running, A has already covered 140 meters.

Now, let's calculate the distance A will cover by the time B covers 500 meters (the total length of the race).

Since the speed ratio is 3:4, the distance covered by A when B covers 500 meters is 3/4 * 500 = 375 meters.

But remember, A had a head start of 140 meters. So, the total distance covered by A when B finishes the race is 375 + 140 = 515 meters.

This means that even after B has finished the race, A is still running.

The difference in the distance covered by A and B when B finishes the race is 515 - 500 = 15 meters.

So, A wins by 15 meters.

But this option is not available in the choices given. Therefore, the answer is "None".

This problem has been solved

Similar Questions

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:5.15 kmph4.14 kmph4.25 kmph4.4 kmphNone

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:21 m26 m28 m29 mNone

A runs 1(2/3) times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?200 m300 m270 m160 mNone

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:5.4 m4.5 m5 m6 mNone

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:18 m20 m27 m9 mNone

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.