A tower crane on a large building site lifts steel beams up to the frame of a new office block, carrying the same mass of steel on every single trip. Over o...
Question 1 Report
A tower crane on a large building site lifts steel beams up to the frame of a new office block, carrying the same mass of steel on every single trip. Over one afternoon, in 5 trips it lifts a total of 12.5 tonnes of steel.
- Work out the mass lifted on each trip. (1)
- Find the total mass the crane lifts after 18 trips. (2)
Answer Details
This question tests direct proportion between the number of trips and the total mass lifted, since each trip carries the same mass.
- The mass lifted on each trip is \(12.5 \div 5 = \) 2.5 tonnes [1].
- After 18 trips, the total mass lifted is \(18 \times 2.5 = \) 45 tonnes [2].
Finding the constant mass per trip first turns the second part into a single multiplication, since equal masses per trip is exactly what makes total mass directly proportional to the number of trips.
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