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Question: An ostrich can run at the rate of 50 miles in 60 minutes. At this rate, how long would it take an os...

An ostrich can run at the rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles?

Explanation

Solution

According to the given question, we have to find out how long it would take an ostrich to run 15 miles, if an ostrich can run at the rate of 50 miles in 60 minutes.
So, first of all we have to find the speed of an ostrich with the help of the formula as mentioned below.
Formula used:
Speed of an ostrich==Distance travelled by an ostrich/time taken to cover that distance……………… (A)
Now, we have to find the time taken by an ostrich to cover 15 miles with the help of the formula as mentioned below.
Time taken by an ostrich== Distance travelled by an ostrich/ Speed of an ostrich…………… (B)

Complete step by step answer:
Step 1: First of all we have to find the speed of an ostrich with the help of the formula (A) as mentioned in the solution hint.
Speed of an ostrich== 5060\dfrac{{50}}{{60}}miles/minutes
Step 2: Now, we have to find the time taken by an ostrich to cover 15 miles with the help of the formula (B) as mentioned in the solution hint.
Time taken by an ostrich== 155060\dfrac{{15}}{{\dfrac{{50}}{{60}}}}
Step 3: Now, we have to solve the expression obtain in the solution step 2,
Time taken by an ostrich== 1550×60\dfrac{{15}}{{50}} \times 60
18\Rightarrow 18 Minutes
Final solution: Hence, an ostrich takes 18 minutes to run 15 miles, if an ostrich can run at the rate of 50 miles in 60 minutes.

Note:
-It is necessary to find the speed of an ostrich with the help of the formula as mentioned in the solution hint.
-It is necessary to find the time taken by an ostrich to cover 15 miles with the help of the formula as mentioned in the solution hint.