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E and F are instructed to construct a bridge. E alone can construct the bridge in 100 days. If E and F work together, they can complete the bridge in 60 days. In how many days can F alone construct the bridge? 

E and F are instructed to construct a bridge. E alone can construct the bridge in 100 days. If E and F work together, they can complete the bridge in 60 days. In how many days can F alone construct the bridge?  Correct Answer 150 days

Given:

E alone can construct the bridge in 100 days.

E and F together can complete the construction of bridge in 60 days.

Concepts used:                                                                                      

1 day work done by individual = Work/time

Time = Work/Efficiency

Calculation:

1 day work done by individual = Work/time

⇒ 1 day work of E = 1/100

L et the time taken by F to complete the bridge alone be x days.

(1/100) + (1/x) = 1/60

⇒ 1/x = (1/60) – (1/100)

⇒ 1/x = 1/150

⇒ x = 150 days

∴ F alone can construct the bridge in 150 days.

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