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Help with distance word problems?

So.. all you mathmeticians out there could you help me with this distance word problem? Could you show me how to do it step by step ?

Here it is:

Aphashia headed for th rodeo at 9 a.m. at 30 miles per hour. At 11 a.m. Bubba headed after her at 60 miles per hour. What time was it when Bubba cuaght Aphasia?

10 Answers

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  • 1 decade ago
    Favorite Answer

    60T=30(T+2)

    60T=30T+60

    30T=60

    T=2 hours

  • 1 decade ago

    At the time when Bubba catches her, their distances will be equal. Their distances can be expressed as Rate*time, with Bubba's time 2 hours less than Aphasia's time. So we have the following:

    Aphasia's distance = 30T

    Bubba's distance = 60(T-2)

    Therefore,

    30T = 60T-120

    T = 4, which is 4 hours after 9 a.m., or 1 pm

  • 1 decade ago

    12:30 PM

    By the time Bubba left Aphasia was 60 miles away from "START" one hour later Bubba was 60 miles away from "START" and Aphasia went another 30 miles so she is 30 miles away more from Bubba 30 minutes later Bubba went 30 miles and Aphasia met Bubba because he is going twice as fast and she doesnt go farther.

  • 1 decade ago

    at 1 p.m. aphashia would have gone 120 miles because 4 hours at 30mph is just 4*30 and bubba would also have gone 120 miles because 2 hours at 60 mph you times 60 by 2 so they would meet at 1 p.m.

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  • Anonymous
    1 decade ago

    I don't know how to put subscripts here, so if it says v1 or d2, assume the number is below the line.

    d1 = d2

    v1t1 = v2t2 (if car 2 travels t hours, car 1 travels t+2 hours)

    (30mph)(t+2) = (60 mph)t

    30t + 60 = 60t

    30t = 60

    t = 2 hours

    The second car will travel 2 hours. Therefore, the second car will reach the first one at 1 p.m. =]

  • Anonymous
    1 decade ago

    1P.M.

    By 11 a.m Aphasia has gone 60 miles so

    60 +30t =60t when they catch up where t is time in hours after 11 a.m.

  • 5 years ago

    What would "X" be in your equation? Which hands of the clock? If you are talking about the minute and hour hands, this problem can be set up as a D = RT problem, but the motion is rotary, involving radians, not straight-line miles! As another answer states, just use your brain! The minute hand makes a complete circle every hour, so the answer has to be "less han an hour". As for when, it really depends upon the clock. In a "perfect world", the minute hand moves 360 degrees in an hour while the hour hand moves 360 degrees in twelve hours! If "X" is the rate of the minute hand, then X/12 is the rate of the hour hand! They will be together when the (Original Location + D = RT) are equal. Set the rest up yourself.

  • Anonymous
    1 decade ago

    http://en.wikipedia.org/wiki/how_to_solve_it

    x is the hours traveled.

    30x = 60(x-2) x is the time Aphasia traved

    x-2 is the time Bubba traveled; when they meet they are equal.

    30x = 60x -120

    -30x = -120

    x = -120/-30 = 4 hours; 9AM+4 hours

    = 1PM

  • about like 1 o clock pm

    how to find

    u noe that at 11 am wud b at 90miles for the aphashia guy so then at 1 o clock it would be

    120miles

    steps:

    APHASHIA:

    9o clock: 0miles

    10 o clock: 30miles

    11o clock : 60 miles

    12 o clock: 90miles

    1 o clock PM: 120 miles

    BUBBA:

    11 o clock: 0 miles

    12 o clock: 60 miles

    1 o clock PM: 120 miles

    1 o clock is the same time they at the same miles

    so tecnically u add the amount of miles they going at to the current miles like shown above(sorta) =)

  • 1 decade ago

    1 p.m.

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