Question

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?

Answer 1

Answer: After 16 seconds the boats will be traveling the same speed.

Step-by-step explanation:

Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

Mike's spewed after x seconds = 12 + 0.2x

Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

Hank's speed after x seconds = 26.4 -0.7 x

As per given,

12 + 0.2x =  26.4 -0.7 x

Subtract 12 from both sides

0.2x= 26.4-12-0.7x

⇒ 0.2x= 14.4-0.7x

Add 0.7xn on both sides , we get

0.2x+0.7x= 14.4

⇒ 0.9x = 14.4

Multiply 10 on both sides, we get

9x=144

Divide both sides by 9 , we get x= 16

Hence, after 16 seconds the boats will be traveling the same speed.