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# Athena heade for the rodeo at 9am @ 30mph. At 11am, Brad headed after her @ 60mph. What time was it when Brad caught Athena?

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Athena heade for the rodeo at 9am @ 30mph. At 11am, Brad headed after her @ 60mph. What time was it when Brad caught Athena?

Aug 19, 2015

#1
+17776
+5

Let  t  represent the number of hours that Brad drove.

Since Athena started 2 hours earlier, she drove  t + 2 hours.

Distance  =  rate x time

Athena's distance:  30(t + 2)

Assuming that they started in the same place, when Brad catches Athena, they both will have driven the same distance:

60t  =  30(t + 2)

60t  =  30t + 60

30t  =  60

t  =  2 hours (after Brad started, so 1:00 pm)

Aug 19, 2015

#1
+17776
+5

Let  t  represent the number of hours that Brad drove.

Since Athena started 2 hours earlier, she drove  t + 2 hours.

Distance  =  rate x time

Athena's distance:  30(t + 2)

Assuming that they started in the same place, when Brad catches Athena, they both will have driven the same distance:

60t  =  30(t + 2)

60t  =  30t + 60

30t  =  60

t  =  2 hours (after Brad started, so 1:00 pm)

geno3141 Aug 19, 2015