A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?

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26-01-2020
Mathematics

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A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?

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can someone help me please

miya6497 miya6497 · Answer 1 · 2020-01-26T21:09:21+01:00

miya6497 miya6497

26-01-2020

3,000 yd3 = 200 dtl
Chapter 1: Problem Solving 17 / 21

Rates Question
12 A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
3,000 yd3 = 200 dtl
40,000 yd3 × 200 dtl = 2,667 dtl
3, 000 yd3

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onyebuchinnaji onyebuchinnaji · Answer 2 · 2022-04-28T12:47:45+02:00

The number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.

Rate of dump clearing by the truck

The rate of dump clearing is determined as follows;

R = 3000 dumps/200 truck

R = 15 dumps/truck

When the dump is 40,000 cubic yards

The number of dump truck needed to clear the 40,000 cubic yards is calculated as follows;

N = 40,000/15

N = 2,666.67 trucks

N ≅2,667 trucks

Thus, the number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.

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