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slava [35]
3 years ago
15

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 bridg

e 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.
Mathematics
1 answer:
gulaghasi [49]3 years ago
6 0

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.

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