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Let, x b hrs truck drove. so in x hrs, truck covered: 45*x miles since car drove 2 hrs less than x, car covered: 60* (x-2) miles as u mentioned, both covered equal distance: 45*x=60* (x-2) ie, x = 8 hrs x-2 = 6 hrs miles covered = 6*60 or 8*45 = 360 miles
perfectionist · Mar 31, 2011 12:19 PM
Velocity=Distance travelled/ time taken V=D/T Thus, T=D/V Given, V(truck)=45 mph V(car)=60 mph. Assume they both travel D miles of distance. Say, the Truck takes X hours to finish the distance of D miles. Then X = D/45 (Hrs = Miles / Miles/Hr) Also, say the car takes Y hours to travel the same distance D. Then Y= D/60 Then Y (hrs) = D (miles)/ 60 MPH We also know the truck travels 2 hrs longer. Thus X=Y+2 Putting all together, D/45= (D/60)+2 or, (4D-3D)/180 = 2 Thus D=360 miles. Then the truck travelled, X hrs = D/45 = 360/45 = 8 hrs. And the car travelled, Y=D/60 = 360/60=6 hrs.
Stiffler · Mar 31, 2011 12:20 PM
Always calculate interms of D=RxT!
kanchu! · Mar 31, 2011 12:23 PM
While they are in equation form, I thought my answer would be more easier to understand, no? By the way, the second equation is wrong. X=y+2 (truck travels 2 hrs longer). Thus X-Y=2 (not -2)
Stiffler · Mar 31, 2011 1:03 PM
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