MATH SOLVE

4 months ago

Q:
# Orville traveled at a speed that was twice as fast as randy, Orville traveled 240 miles in one hour less than it took randy to travel 150 miles. What were the speed and time it took for both Orville and randy? Please answer will give brainliest

Accepted Solution

A:

Let

x-------> Orville speed

y-------> Randy speed

t--------> Randy time

we know that

speed=distance /time

Orville traveled at a speed that was twice as fast as randy

so

x=2y------> equation 1

speed Orville

x=240/(t-1)------> equation 2

speed Randy

y=150/t------> equation 3

substitute equation 1 in equation 2

2y=240/(t-1)------> y=120/(t-1)----------> equation 4

equate equation 3 and equation 4

150/t=120/(t-1)------> 150*(t-1)=120*t----> 150*t-120*t=150

30*t=150-----> t=5 hours

Orville speed and time

x=240/(t-1)-----> 240/(4)----> 60 miles/hour

Orville speed is 60 miles/hour

Orville time is (t-1)----> 5-1-----> 4 hour

Randy speed and time

y=150/t-----> 150/5----> 30 miles/hour

Randy speed is 30 miles/hour

Randy time is t-----> 5 hours

the answers are

a) Orville speed is 60 miles/hour

b) Orville time is 4 hours

c) Randy speed is 30 miles/hour

d) Randy time is 5 hours

x-------> Orville speed

y-------> Randy speed

t--------> Randy time

we know that

speed=distance /time

Orville traveled at a speed that was twice as fast as randy

so

x=2y------> equation 1

speed Orville

x=240/(t-1)------> equation 2

speed Randy

y=150/t------> equation 3

substitute equation 1 in equation 2

2y=240/(t-1)------> y=120/(t-1)----------> equation 4

equate equation 3 and equation 4

150/t=120/(t-1)------> 150*(t-1)=120*t----> 150*t-120*t=150

30*t=150-----> t=5 hours

Orville speed and time

x=240/(t-1)-----> 240/(4)----> 60 miles/hour

Orville speed is 60 miles/hour

Orville time is (t-1)----> 5-1-----> 4 hour

Randy speed and time

y=150/t-----> 150/5----> 30 miles/hour

Randy speed is 30 miles/hour

Randy time is t-----> 5 hours

the answers are

a) Orville speed is 60 miles/hour

b) Orville time is 4 hours

c) Randy speed is 30 miles/hour

d) Randy time is 5 hours