Marisol left los angeles at 2: 30 to drive to santa barbara, a distance of 95 miles. the traffic was heavy until 3: 20. she drove the rest of the way in very light traffic and arrived at 4: 20. her speed in heavy traffic 40 miles per hour slower than her speed in light traffic. find her speed in heavy traffic and in light traffic

Step-by-step explanation:

Let x be the speed in heavy traffic and y be the speed in light traffic in miles per hour.

Total distance = 95 miles

Time taken in heavy traffic = 50 minutes = hour

We know that

Distance traveled in heavy traffic =

Time taken in light traffic = 1 hour

Distance traveled in light traffic =

Since, Total distance = 95 miles

Also, Her speed in heavy traffic 40 miles per hour slower than her speed in light traffic.

Multiply this equation by 5 on both sides, we get

Add (3) and (1), we get  (5x will be cancelled)

From equation, (2), we get

Hence, Her speed in heavy traffic is 30 miles per hour and in light traffic is 30 miles per hour.

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step-by-step explanation: