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Question

3.86x+180.210x+42.25x
The following equation represents the format of the Ironman: it consists of a 3.86-km swim, an 180.2-km bicycle ride, and a 42.2-km run, all raced in that order and without a break. Suppose M.S. Hussain bikes 10 times as fast as he swims and runs 5 times as fast as he swims. Here, x represents the rate at which the Hussain swims, and the whole expression represents the number of hours that it takes him to complete the race. If it takes him 16.2 hours to complete the race, Calculate the distance swam kilometres by him in 1 hour.

A
0.85
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B
1.01
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C
1.17
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D
1.87
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Solution

The correct option is C 1.87
Since x represents the rate at which Hussain swims, meaning that it shows the speed of his swimming, i.e. the distance swam by him in 1 hour.
Thus, we need to find x as asked in the question.
3.86x+180.210x+42.25x=16.2
38.6+180.2+84.410x=16.2
303.2=162x
x=1.87 km/hour

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