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 = t
Number of cars = 10
Total length of Bridge = 122 ft, and weight = 20 tons
Total length of Car = 7.4 ft, and weight = 1.2 tons
Total length of truck = 16 ft, and weight = 2.8 tons
Now, there are 10 cars on the bridge.
So, total length of bridge covered = 7.4 x 10 = 74 feet
Hence, the available length of bridge for trucks = 122 - 74 = 48 ft
Also, total weight of bridge covered = 1.2 x 10 = 12 tons
Hence, the available weight of bridge for trucks = 20 - 12 = 8 tons
Hence, according to the question:
2.8 t ≤ 12 tons and
16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.
