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SAMPLEMOCK 0 · SCORE REPORT
Q7514 of 21
BY TOPIC
Stats & Counting2/4
Word Problems3/5
Arithmetic4/6
Algebra5/6
WHERE THE TIME WENT38:20 / 45:00
Score reportSAMPLEMistake bank.
13 misses · 4 to read
Remainder when 3n is divided by 7Mock 0 · Q10Read →
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SAMPLE ProgressSAMPLE01
21 QUESTIONS · 45 MIN
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SAMPLEMISSED
A car travels 60 miles at 30 miles per hour, then returns the same 60 miles at 60 miles per hour. What is the average speed for the round trip?
You averaged the two speeds. The slow leg holds the clock twice as long. How many hours each?
2 hours out, 1 hour back.
Right on the hours. Now put all 120 miles over that total.
Work with the hinter before you reveal the solution.
Hint modeSAMPLETHE MOVE
Average speed follows the clock, not the two speeds.
FULL SOLUTION
1Same 60 miles each way, so time the legs separately.60 ÷ 30 = 2 h 60 ÷ 60 = 1 h
2Total distance over total time.120 ÷ 3 = 40 miles per hour
3With equal distances the mean sits nearer the slow leg.30 < 40 < 45
So why is averaging 30 and 60 wrong here?
The slow leg holds the clock twice as long, so it weighs more. Equal times would make 45 right.
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