Rate times distance word problem?

48t = 54(t - 0.5)

48t = 54t - 27

-6t = -27

t = 27/6 = 9/2 = 4.5 hours

What could "X" be on your equation? Which arms of the clock? in case you're speaking with regard to the minute and hour arms, this situation could be set up as a D = RT situation, however the action is rotary, related to radians, not immediately-line miles! As yet another answer states, in basic terms use your ideas! The minute hand makes an entire circle each hour, so the respond must be "much less han an hour". As for whilst, it extremely relies upon on the clock. In a "suitable international", the minute hand strikes 360 stages in an hour jointly as the hour hand strikes 360 stages in twelve hours! If "X" is the value of the minute hand, then X/12 is the value of the hour hand! they are going to be jointly whilst the (unique area + D = RT) are equivalent. Set something up your self.

Distance to overtake = 48 * 30 / 60
catch-up speed = 54 - 48
time to overtake = distance / speed

(48 * 30 / 60) / (54 - 48)
= 24 / 6
= 4

Hi wrong num..,
4 hours after the 2nd bus started, the 2 buses will be in the same spot.
Must tell you I do not know the distance from Brooklyn to Rochelle.
Each bus will have traveled a total distance of 216 miles when they will be in the same spot.

Distance = Rate x Time.
1st bus D = 48 x T
2nd bus D2 = 24 + 54 T; 30 minutes later 1st bus had traveled 24 miles already. So,
48 T = 24 + 54 T
T = 4 hours.; Answer is 4 hours after the 2nd bus started.

Let's check:
2nd bus = 54 miles/hr x 4 hrs = 216 miles

1st bus = 24 miles + 48 miles/hr x 4 hrs = 24 + 192 = 216 miles

Let x be the distance when they meet
x/48=x/54+1/2
54x=48x+1296
6x=1296
x=216

216/54+1/2 =4.5 hours