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Question
Two riders on the horseback with a gun and a bullet proof shield were moving towards each other at a constant speed of 20km/h and 5km/h respectively. When they were 100 km apart, they started firing bullets at each other at the speed of 10km/h. When a bullet of rider 1 hits the shield of rider 2, rider 2 fires a bullet and the process continue vice versa. Neglecting the time lag at the instant when the bullet hits the shield and the rider fires the shot, find the total distance covered by all the bullets shot by both the riders.
Two riders on the horseback with a gun and a bullet proof shield were moving towards each other at a constant speed of 20km/h and 5km/h respectively. When they were 100 km apart, they started firing bullets at each other at the speed of 10km/h. When a bullet of rider 1 hits the shield of rider 2, rider 2 fires a bullet and the process continue vice versa. Neglecting the time lag at the instant when the bullet hits the shield and the rider fires the shot, find the total distance covered by all the bullets shot by both the riders.
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Solution
The correct option is B 40 km
We can see that it takes them 4 hours to reach each other. And this is the same time for which bullets will cover some distance.
So, the total distance covered by the bullet =4×10=40 km
We can see that it takes them 4 hours to reach each other. And this is the same time for which bullets will cover some distance.
So, the total distance covered by the bullet =4×10=40 km
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