A boy cyclist and a girl cyclist are 10 miles apart and pedaling toward each other. The boy's rate is 4 miles per hour, and the girl's rate is 6 miles per hour. There is also a friendly fly zooming continuously back and forth from one bike to the other. If the fly's rate is 15 miles per hour, by the time the cyclists reach each other, how far does the fly fly?

Step-by-step explanation:

GIVEN: A boy cyclist and a girl cyclist are miles apart and pedaling toward each other. The boy's rate is miles per hour, and the girl's rate is 6 miles per hour. There is also a friendly fly zooming continuously back and forth from one bike to the other. If the fly's rate is per hour.

TO FIND: By the time the cyclists reach each other, how far does the fly fly?

SOLUTION:

Boy's speed of riding cycle

Girl's speed of riding cycle

Total distance between both

as both are heading towards each other

relative speed of boy and girls

Time taken by both cyclist to reach each other

Speed of fly

distance traveled by fly by the time cyclists reach each other

Hence the fly far by the time both cyclists reach each other.

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step-by-step explanation:

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the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!