Question

Yosief and his family went to San Diego for summer vacation. Yosief plotted the speed versus time on his note book see below. Estimate the distance to San Diego using Yosief's plot?

Answer 1

Approximately `340` miles

Explanation:

From A to B
`color(white)("XXX")`time `= 1/2` hr.
`color(white)("XXX")`ave. speed `=(0+38)/2` mph `=19` mph
`color(white)("XXX")`distance `=1/2` hr `xx 19` mph `= 9 1/2` miles.

From B to C
`color(white)("XXX")`time `= 1/2` hr.
`color(white)("XXX")`ave. speed `=(38+40)/2` mph `=39` mph
`color(white)("XXX")`distance `=1/2` hr `xx 39` mph `= 19 1/2` miles.

From C to D
`color(white)("XXX")`time `= 1/4` hr.
`color(white)("XXX")`ave. speed `=(40+70)/2` mph `=55` mph
`color(white)("XXX")`distance `=1/4` hr `xx 55` mph `= 13 3/4` miles.

From D to E
`color(white)("XXX")`time `= 3 3/4` hr. `= 15/4` hr.
`color(white)("XXX")`ave. speed `=(70+70)/2` mph `=70` mph
`color(white)("XXX")`distance `=15/4` hr `xx 70` mph `= 262 1/2` miles.

From E to F
`color(white)("XXX")`time `= 1` hr.
`color(white)("XXX")`ave. speed `=(70+0)/2` mph `=35` mph
`color(white)("XXX")`distance `=1` hr `xx 35` mph `= 35` miles.

Total Distance to San Diego
`color(white)("XXX")9 1/2 + 19 1/2+ 13 3/4 + 262 1/2+35` miles
`color(white)("XXX")=340 1/4` miles