Math Problem?
2017-10-31 6:50 am
If Dr. Suzuki rides his bike to his office, he averages 12 miles per hour. If he drives his car, he averages 36 miles per hour. His time driving is 1/4 hour less than his time bicycling. How far is his office?
回答 (2)
2017-10-31 6:55 am
Let d be the distance (in miles).
The time via the bicycle is d/12
The time via the car is d/36
The time via car is 1/4 hour less than via bicycle:
d/36 = d/12 - 1/4
Multiply both sides by 36 to get rid of fractions:
d = 3d - 9
2d = 9
d = 4.5 miles
The time via the bicycle is d/12
The time via the car is d/36
The time via car is 1/4 hour less than via bicycle:
d/36 = d/12 - 1/4
Multiply both sides by 36 to get rid of fractions:
d = 3d - 9
2d = 9
d = 4.5 miles
2017-10-31 9:04 am
Let the distance of the office is 'x' miles.
By bicycling, he takes x/12 hours to reach his office.
By driving car, he takes x/36 hours to reach his office.
Given, x/36 = x/12 - 1/4
or, x/12 - x/36 = 1/4 or,24x/36 1/4 or,2/3x = 1/4
x = 1/4 x 3/2 = 3/8 miles (Ans.)
By bicycling, he takes x/12 hours to reach his office.
By driving car, he takes x/36 hours to reach his office.
Given, x/36 = x/12 - 1/4
or, x/12 - x/36 = 1/4 or,24x/36 1/4 or,2/3x = 1/4
x = 1/4 x 3/2 = 3/8 miles (Ans.)
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