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The amount of time that three people worked on a certain project was in the ratio of 2 : 3 : 5. If the project took 110

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by Vincen » Mon May 18, 2020 6:49 am

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B

C

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E

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The amount of time that three people worked on a certain project was in the ratio of 2 : 3 : 5. If the project took 110 hours, what is the difference between the number of hours worked by the person who worked for the longest time and the person who worked for the shortest time?

(A) 22
(B) 33
(C) 44
(D) 55
(E) 66

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
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Re: The amount of time that three people worked on a certain project was in the ratio of 2 : 3 : 5. If the project took

by deloitte247 » Sat May 23, 2020 12:56 am
Given that => Project took 110 hours
The ratio of work for the 3 people = 2 : 3 : 5
Let 3 people = x, y, z
The ratio of x : y : z = 2 : 3 : 5
Sum of ratio = 2 + 3 + 5 = 10

x worked for => 110 * 2/10 hours
= 22 hours
y worked for => 110 * 3/10 hours
= 33 hours
z worked for 110 * 5/10 hours
= 55 hours

x worked for the shortest time
z worked for the longest time
The difference between their working hours
=> z - x hour
= 55 - 22 = 33 hours

Answer = B
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