Chapter 3: Q. 441 (page 411)

Two planes leave Dallas at the same time. One heads east at a speed of $428$ miles per hour. The other plane heads west at a speed of $382$ miles per hour. How many hours will it take them to be $2, 025$ miles apart?

Short Answer

Expert verified

The duration is $2.5$ hours.

Step by step solution

Step 1. Given Information

Speed of one plane heading east $= 428$ miles per hour

Speed of other plane heading west $= 382$ miles per hour.

We need to find the time taken by them to be $2, 025$ miles apart.

Step 2. Finding the duration

Let $t$ hours be the time taken.

Distance travelled by plane heading east $= 428 t$ miles

Distance travelled by plane heading west $= 382 t$ miles

$∴ 428 t + 382 t = 2025 \Rightarrow 810 t = 2025 \Rightarrow t = \frac{2025}{810} \Rightarrow t = 2.5$

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Two planes leave Dallas at the same time. One heads east at a speed of $428$ miles per hour. The other plane heads west at a speed of $382$ miles per hour. How many hours will it take them to be $2, 025$ miles apart?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the duration

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Two planes leave Dallas at the same time. One heads east at a speed of 428miles per hour. The other plane heads west at a speed of 382miles per hour. How many hours will it take them to be2,025 miles apart?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the duration

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Geometry

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Two planes leave Dallas at the same time. One heads east at a speed of $428$ miles per hour. The other plane heads west at a speed of $382$ miles per hour. How many hours will it take them to be $2, 025$ miles apart?