Question

two cars 200 kilometers apart are moving toward each other;each one is going at a speed of 50 km/h. a large wasp starting on the front of one of them flies back and forth between them at a rate of 75 km/h.it does this until the cars collide and crash the large wasp.what is the total distance the large wasp has flown?

Answer 1

Two cars 200 kilometers apart are moving toward each other; each one is going at a speed of $50\mathrm{km/h}$ . A large wasp starting on the front of one of them flies back and forth between them at a rate of $75\mathrm{km/h}$ . It does this until the cars collide and crash the large wasp. What is the total distance the large wasp has flown?

Solution:

We have to find the time that two cars moved until the ones collided

$$t = \frac {l}{v _ {1} + v _ {2}} = \frac {2 0 0}{5 0 + 5 0} = \frac {2 0 0}{1 0 0} = 2 (h)$$

Thus the total distance the large wasp has flown is

$$S = t \cdot v _ {3} = 2 \cdot 7 5 = 1 5 0 (k m)$$

Answer: $150 \, \text{km}$ .