An electric motor M is used to reel in cable and hoist a bicycle into the ceiling space of a garage. Pulleys are fastened to the bicycle frame with hooks at location:s A and B, and the motor can reel in cable at a steady rate of 12 in./sec. At this rate, how long will it take to hoist the bicycle 5 feet into the air? Assume that the bicycle remains level.

time taken = 5 sec

Explanation:

Rate at which motor can reel bicycle = 12 in/sec

height to hoist the bicycle by = 5 ft

time that will be taken to get to this height = ?

first we convert the height required to inches.

12 inches = 1 ft, therefore,

5 ft = (5 x 12) inches = 60 inches

Time that will be taken to get to this height assuming the remains level will be,

time = height/rate of reeling

time = 60/12 = 5 sec