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Chapter 7: Q.459. (page 740)

Josue can ride his bicycle 8mph faster than Arjun can ride his bike. It takes Luke 3hours longer than Josue to ride 48miles.

Find the speed on Josue ride.

Short Answer

Expert verified

The speed on Josue ride is8mph.

Step by step solution

01

Step 1. Given information.

Josue can ride his bicycle 8mph faster than Arjun can ride his bike.

Arjun takes3hours longer than Josue to ride48miles.

02

Step 2. Organize the information.

Letxrepresents the speed on Josue ride.

03

Step 3. Solve the proportion.

Solve the obtained equation.

48x=48x+8+348x=48+3x+8x+848x+8=48x+3xx+848x+384=48x+3x2+24x3x2+24x-384+48x-48x=03x2+24x-384=03x2+8x-128=0x2+16x-8x-128=0xx+16-8x+16=0x+16x-8=0

04

Step 4. Apply zero-product property.

x+16x-8=0

Implies that:

x+16=0x=-16 or x-8=0x=8

So, neglect the negative value of x.

x=8.

05

Step 5. Simplified answer.

Hence, the speed on Josue's ride is about 8 mph.

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