SOLUTION: The jet boat went "b" miles in "h" hours but arrived 2 hours late. How fast should it have traveled to arrive on time?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The jet boat went "b" miles in "h" hours but arrived 2 hours late. How fast should it have traveled to arrive on time?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1157007: The jet boat went "b" miles in "h" hours but arrived 2 hours late. How fast should it have traveled to arrive on time?
Found 3 solutions by josgarithmetic, josmiceli, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
---------------------------------
jet boat went "b" miles in "h" hours but arrived 2 hours late. How fast should it have traveled
-----------------------------
?

b is given.
h is given.

               SPEED          TIME        DISTANCE

DID              b/h            h          b

ON TIME          r              h-2        b

system%28%28b%2Fh%29h=b%2Cr%28h-2%29=b%29

highlight%28r=b%2F%28h-2%29%29------------SHOULD travel b%2F%28h-2%29 miles per hour

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +h+-+2+ = time of travel in order to arrive on time
+h+ = arrives time 2 hrs late
Let +s+ = the speed of the jet boat in mi/hr arriving 2 hrs late
+b+=+s%2Ah+
+s+=+b+%2F+h+
Let +s%5B1%5D+ = the speed I should add in order to
arrive in +t+-+2 hrs
+b+=+%28+b+%2F+h+%2B+s%5B1%5D+%29%2A%28+h+-+2+%29+
+b+=+b+%2B+s%5B1%5D%2Ah+-+2b%2Fh+-+2s%5B1%5D+
+s%5B1%5D%2A%28+h+-+2+%29+=+2b%2Fh+
+s%5B1%5D+=+2b%2F%28h%2A%28+h+-+2+%29%29+
+s+%2B+s%5B1%5D+=+b%2Fh+%2B+2b%2F+%28h%2A%28+h-2+%29%29+
+s+%2B+s%5B1%5D+=+%28+b%2Fh+%29%2A%28+1+%2B+2+%2F+%28+h+-+2+%29%29+ answer
-----------------------------------------------------
check:
Suppose
+b+=+100+ mi
+h+=+4+ hrs ( arriving 2 hrs late
+h+-+2+=+2+ hrs to arrive on time
+s+=+100%2F4+
+s+=+25+ mi/hr
-------------------
+100+=+%28+s+%2B+s%5B1%5D+%29%2A2+
+s+%2B+s%5B1%5D+=+50+ mi/hr
check this with the answer:
+s+%2B+s%5B1%5D+=+%28+b%2Fh+%29%2A%28+1+%2B+2+%2F+%28+h+-+2+%29%29+
+s+%2B+s%5B1%5D+=+%28+100%2F4+%29%2A%28+1+%2B+2+%2F+%28+4+-+2+%29%29+
+s+%2B+s%5B1%5D+=+25%2A%28+1+%2B+1+%29+
+s+%2B+s%5B1%5D+=+50+
OK
Feel free to get a 2nd opinion on this



Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

The jet boat went "b" miles in "h" hours but arrived 2 hours late. How fast should it have traveled to arrive on time?
It's as simple as this: Speed going: b%2Fh
Time to get to destination, on time: h - 2
Speed to get to destination on time: highlight_green%28b%2F%28h+-+2%29%29
That's ALL!