Caroline and Diana drive from city A to city B at respective rates of 60 mph and 45 mph. They both started driving from city A at 9:30 a. m. If Caroline reached Boston at 1:45 p. m., what time did Diana reach city B?

4:20 PM

Step-by-step explanation:

Caroline travels at 4/3 the speed Diana does.  In that same way, we can use the reciprocal and see that Diana's speed is 3/4 the speed of Caroline's speed.  This means that Diana would've been done with 3/4 of her route when Caroline reached at 1:45 PM.  Now we can find the time Caroline took:  10:30, 11:30, 12:30, 1:30, 1:45.  This means it took Caroline 4h 15min to reach City B.  Now we have to do 4*60+15= 255 minutes *4/3.  255*4/3 = 340 minutes.  It took Diana 340 minutes.  Now we have to count this time from 9:30 AM.  7 hours is 350 minutes, so it took Diana 7 hours - 10 minutes = 6h 50 minutes.  9:30+6h 50min = 4:20 PM

step-by-step explanation: 4 cause 2+2=4

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