Asked by barbara
A new machine that deposits cement for a road requires 13 hours to complete a one-half mile section of road. An older machine requires 15 hours to pave the same amount of road. After depositing cement for 2 hours, the new machine develops a mechanical problem and quits working. The older machine is brought into place and continues the job. How long does it take the older machine to complete the job
Answers
Answered by
Henry
13h/0.5mi. = 26 h/mi. with new machine.
d1 = 2h * 1mi/26h = 2/26= 1/13 Mi. by new machine.
d2 = 13/26 - 2/26 = 11/26 mi. remaining.
15h/0.5mi. = 30 h/mi. with old
machine.
T = (11/26)mi * 30h/mi = 12.69 h.
d1 = 2h * 1mi/26h = 2/26= 1/13 Mi. by new machine.
d2 = 13/26 - 2/26 = 11/26 mi. remaining.
15h/0.5mi. = 30 h/mi. with old
machine.
T = (11/26)mi * 30h/mi = 12.69 h.
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