A patrolman gives a driver a speeding ticket if the driver’s speed is greater than 15% over the posted speed limit. If the speed limit is 40 miles per hour, what is the highest speed that a driver can go without receiving a ticket?

Question

17-05-2019
Mathematics

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A patrolman gives a driver a speeding ticket if the driver’s speed is greater than 15% over the posted speed limit. If the speed limit is 40 miles per hour, what is the highest speed that a driver can go without receiving a ticket?

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laurellee27 laurellee27 · Answer 1 · 2019-05-17T12:51:23+02:00

Answer:

The driver can drive at 46 mph.

Step-by-step explanation:

A patrolman gives a driver a speeding ticket if the driver’s speed is greater than 15% over the posted speed limit.

If the speed limit is x, if the driver is driving greater than 1.15x, they will receive a speeding ticket.

Replace x with 40.

If the speed limit is 40, if the driver is driving greater than 1.15*40, they will receive a speeding ticket. Therefore, If the driver is driving greater than 46, they will receive a speeding ticket.

As it states "greater" and not "greater than or equal to", the driver can drive at 46 mph.