Page 164 - NUMINO Challenge_C2
P. 164
2 The train travels 12 m in 1 second; therefore, it 14 Overs and Shorts p.120~p.121
travels 25 12 300 m in 25 seconds. This Example common multiple 65, 86, 107
distance is equal to the total length of the train 107
and the bridge. Therefore, the length of the
bridge is 300 85 215 m.
Creative Thinking p.118~p.119 TryItAgain When the remainders of a number divided
by 4 and 6 are 3 and 5, respectively, that
1 Car A travels 14 km more than car B per hour. number is smaller than the common multiple
of 4 and 6 by 1.
The two cards will meet when car A travels 70 (Common multiple of 4 and 6) 1
km; therefore, they will meet in 70 14 5 hours. 11, 23, 35, 47,
2 Peter needed to walk 300 m more than Alice to Example 1 10 10, 10, 58
catch up with her. Between the first time and TryItAgain When you add the remaining 5 marbles and
second time they met, Peter walked 300 m the 2 marbles that are short, you can put 1
more in 19 4 15 minutes; therefore, he more marble in each jar. Therefore, there
walked 300 15 20 m per minute. Since he are 5 2 7 jars and 3 7 5 26 marbles
walked 20 4 80 m in 4 minutes when he in all.
caught up with her the first time, Peter started
80 m behind Alice. Type 14-1 Overs and Shorts p.122~p.123
3 The distance that the train travels through the 1 30 6 36 stones
tunnel where it cannot be seen is (Length of the 2 2n2n44n4
tunnel) (Length of the train).
3 4 n 4 36
Distance the train travels 4 n 32
n8
The distance the train traveled in 3 minutes is
350 3 1050 m is equal to 1500 (Length of 4 8 8 30 94 stones
the train). Therefore, the length of the train is
1500 1050 450 m. Problem solving
4 Julie walked at 50 m per minute and Sam 1 When 5 students sat on each bench, the 12
walked 30 m per minute. They got closer by students who did not have a seat when 4
50 30 80 m every minute. Since the distance students were sitting on each bench could sit.
between their houses is 2000 m, they meet up in Yet 6 benches were left over. The number of
2000 80 25 minutes. Therefore, it's as if the students who could sit increased by 12 6 5
dog ran at a speed of 100 m per minute for 25 42. Therefore, there were 42 benches and 4
minutes. Therefore, the distance the dog ran 42 12 180 students attended the concert.
was 100 25 2500 m.
Answer Key
travels 25 12 300 m in 25 seconds. This Example common multiple 65, 86, 107
distance is equal to the total length of the train 107
and the bridge. Therefore, the length of the
bridge is 300 85 215 m.
Creative Thinking p.118~p.119 TryItAgain When the remainders of a number divided
by 4 and 6 are 3 and 5, respectively, that
1 Car A travels 14 km more than car B per hour. number is smaller than the common multiple
of 4 and 6 by 1.
The two cards will meet when car A travels 70 (Common multiple of 4 and 6) 1
km; therefore, they will meet in 70 14 5 hours. 11, 23, 35, 47,
2 Peter needed to walk 300 m more than Alice to Example 1 10 10, 10, 58
catch up with her. Between the first time and TryItAgain When you add the remaining 5 marbles and
second time they met, Peter walked 300 m the 2 marbles that are short, you can put 1
more in 19 4 15 minutes; therefore, he more marble in each jar. Therefore, there
walked 300 15 20 m per minute. Since he are 5 2 7 jars and 3 7 5 26 marbles
walked 20 4 80 m in 4 minutes when he in all.
caught up with her the first time, Peter started
80 m behind Alice. Type 14-1 Overs and Shorts p.122~p.123
3 The distance that the train travels through the 1 30 6 36 stones
tunnel where it cannot be seen is (Length of the 2 2n2n44n4
tunnel) (Length of the train).
3 4 n 4 36
Distance the train travels 4 n 32
n8
The distance the train traveled in 3 minutes is
350 3 1050 m is equal to 1500 (Length of 4 8 8 30 94 stones
the train). Therefore, the length of the train is
1500 1050 450 m. Problem solving
4 Julie walked at 50 m per minute and Sam 1 When 5 students sat on each bench, the 12
walked 30 m per minute. They got closer by students who did not have a seat when 4
50 30 80 m every minute. Since the distance students were sitting on each bench could sit.
between their houses is 2000 m, they meet up in Yet 6 benches were left over. The number of
2000 80 25 minutes. Therefore, it's as if the students who could sit increased by 12 6 5
dog ran at a speed of 100 m per minute for 25 42. Therefore, there were 42 benches and 4
minutes. Therefore, the distance the dog ran 42 12 180 students attended the concert.
was 100 25 2500 m.
Answer Key
