Q:

A bridge has a single lane and is 122 feet long. The weight limit for the bridge is 20 tons. Each car that might be on the bridge is 7.4 feet long and weighs 1.2 tons. Each truck is 16 feet long and weighs 2.8 tons. Write an inequality you could use to find the number of trucks t that can fit on the bridge when there are 10 cars in the bridge.

Accepted Solution

A:
Answer:2.8 t ≤  12 tons  ,  16 t  ≤   48 feet are the required inequalities to find the number of trucks t on a bridge.Step-by-step explanation:The number of trucks on the bridge = tNumber of cars = 10Total length of Bridge = 122 ft, and weight = 20 tonsTotal length of Car = 7.4 ft, and weight = 1.2 tonsTotal length of truck = 16 ft, and weight = 2.8 tonsNow, there are 10 cars on the bridge.So, total length of bridge covered = 7.4 x 10 = 74 feetHence, the available length of bridge for trucks = 122 - 74 = 48 ftAlso, total weight of bridge covered = 1.2 x 10 = 12 tonsHence, the available weight  of bridge for trucks = 20 - 12 = 8 tonsHence, according to the question:2.8 t ≤  12 tons    and16 t  ≤   48 feet are the required inequalities to find the number of trucks t on a bridge.