2A Math Support 20 May 2024

48 men were deployed to construct a bridge in 30 days.

How many days would the construction work take if there were only 32 men?

Assume that all the men work at the same rate.

A building can be completed in 120 days with 50 workers. 

Assuming that all the workers work at the same rate, find how many workers are required to complete the building in 100 days.

Li Peng, a farmer in China, has enough seeds to feed his 500 chickens for 8 weeks.

Unfortunately, his neighbour’s grain store caught fire and was burnt down.

His neighbour has to borrow seeds from Li Peng for 300 chickens. 

How many weeks will the seeds last both the farmers?

The cost $C of a metal pipe is directly proportional to its length x cm. 

When the length is 30 cm, its cost is $2.

Find the length of a metal pipe if its cost is $15.

Answer: . . . . . . cm

In a mobile price plan, it is given that the total handphone bill,

$y, is directly proportional to the amount of time, x minutes, spent talking on the phone. 

In April, Arthur talked for 150 minutes on the phone and the bill was $50.

Find Arthur’s handphone bill in May if he talks for 99 minutes.

Answer: $ . . . . . .