A ship was stocked with food to last for 40 days for 2500 sailors. However, some sailors could not board the ship and the food could last for 50 days. How many sailors could not board the ship?
400
500
700
1000
Explanation:
Men = M; Days = D; Time/Hours = T; Work = W
M1D1T1W2 = M2D2T2W1
Note that - W2 is on left side and W1 is on right side
Take work done = 1
Let number of sailors who could not board = S.
So sailors who boarded = 2500-S
∴ 2500 sailors x 40 days x 1 = (2500-S) sailors x 50 days x 1
∴ S = 500 = Sailors who could not board the ship.