Question

A 5% grade with a length of 3,000 ft is meeting a 2% grade with a length of 4,000 ft. If a truck starts at the beginning of the first grade at a speed of 50 mph, determine the following:

- Speed at the end of the first grade
- Speed at the end of the second grade

Answer #1

The slope is positive so , the road is uphill , the decrease in speed on the 5% grade road of length 3000 ft is

= Distance × Slope × Speed

= 3000 ft ×( 5/100) × 50 mph

= 0.57 × 0.05 × 50 = 1.425 mph

So,

- Speed at the end of first grade is 50-1.425 = 48.575 mph

For the second part, where the length of the road is 4000ft and the slope is 2%

The decrease in speed = Distance × Slope ×Speed

= 4000ft ×( 2/100) × 48.575

=0.76 × 0.02 × 48.575 = 0.74mph

So,

- Speed at the end of second grade

=48.575 - 0.74 = 47.835mph

A 5% grade with a length of 3,000 ft is meeting a 2% grade with
a length of 4,000 ft. If a truck starts at the beginning of the
first grade at a speed of 50 mph, determine the following:
Speed at the end of the first grade
Speed at the end of the second grade

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Width (ft)
Area (sq ft)
5
375.0
10
700.0
20
1200.0
30
1500.0
40
1600.0
50
1500.0
60
1200.0
70
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BEG FG=$3,000
END RM=$4,000
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END FG=$6,000
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BEG FG=3,000
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END FG=6,000
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