Question

two mechanics worked on a car. the first mechanic charged $115 per hour, and the second mechanic charged $100 per hour. the mechanics worked for a combined total of 20 hours, and together they charged a total of $2225. how long did each mechanic work?

Answer 1

Hence first mechanic worked for 15 hours and second mechanic worked for 5 hours.

What is ratio and proportion?

When comparing two quantities of the same kind, ratio is utilized.

For two numbers, a and b, the ratio formula is written as a: b or a/b.

Two or more ratios are said to be in proportion if they are all equal.

Fractions are the foundation of the concepts of ratio and proportion.

Let x is the number of hours the first mechanic worked and y is the number of hours the second mechanic worked.

∵x+y = 20

x = 20 - y

115x+100y = 2225

115(20-y) + 100y = 2225

2300 - 115y +100y = 2225

15y = 75

y = 5 hours

∴ x = 20-5

x = 15 hours

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